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Finding the Fourth Proportional to 145.94, 201.51 and 102.51

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Solution

The fourth proportional to 145.94, 201.51 and 102.51 is: 141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.94 : 201.51 = 102.51 : x
  2. Step 2: Convert to fraction form
    145.94/201.51 = 102.51/x
  3. Step 3: Cross multiply
    145.94x = 201.51 × 102.51
  4. Step 4: Simplify right side
    145.94x = 20,656.79
  5. Step 5: Solve for x
    x = 20,656.79/145.94
  6. Step 6: Final answer
    x = 141.54

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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.