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Finding the Fourth Proportional to 145.96, 201.35 and 102.22

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Solution

The fourth proportional to 145.96, 201.35 and 102.22 is: 141.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.96 : 201.35 = 102.22 : x
  2. Step 2: Convert to fraction form
    145.96/201.35 = 102.22/x
  3. Step 3: Cross multiply
    145.96x = 201.35 × 102.22
  4. Step 4: Simplify right side
    145.96x = 20,582.00
  5. Step 5: Solve for x
    x = 20,582.00/145.96
  6. Step 6: Final answer
    x = 141.01

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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.