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Finding the Fourth Proportional to 102.71, 142.08 and 99.07

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Solution

The fourth proportional to 102.71, 142.08 and 99.07 is: 137.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.71 : 142.08 = 99.07 : x
  2. Step 2: Convert to fraction form
    102.71/142.08 = 99.07/x
  3. Step 3: Cross multiply
    102.71x = 142.08 × 99.07
  4. Step 4: Simplify right side
    102.71x = 14,075.87
  5. Step 5: Solve for x
    x = 14,075.87/102.71
  6. Step 6: Final answer
    x = 137.04

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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.