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Finding the Fourth Proportional to 145.56, 201.11 and 102.09

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Solution

The fourth proportional to 145.56, 201.11 and 102.09 is: 141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.56 : 201.11 = 102.09 : x
  2. Step 2: Convert to fraction form
    145.56/201.11 = 102.09/x
  3. Step 3: Cross multiply
    145.56x = 201.11 × 102.09
  4. Step 4: Simplify right side
    145.56x = 20,530.81
  5. Step 5: Solve for x
    x = 20,530.81/145.56
  6. Step 6: Final answer
    x = 141.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.