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Finding the Fourth Proportional to 102.84, 142.87 and 101.89

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Solution

The fourth proportional to 102.84, 142.87 and 101.89 is: 141.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.84 : 142.87 = 101.89 : x
  2. Step 2: Convert to fraction form
    102.84/142.87 = 101.89/x
  3. Step 3: Cross multiply
    102.84x = 142.87 × 101.89
  4. Step 4: Simplify right side
    102.84x = 14,557.02
  5. Step 5: Solve for x
    x = 14,557.02/102.84
  6. Step 6: Final answer
    x = 141.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.