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Finding the Fourth Proportional to 102.07, 141.52 and 96.60

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Solution

The fourth proportional to 102.07, 141.52 and 96.60 is: 133.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.07 : 141.52 = 96.60 : x
  2. Step 2: Convert to fraction form
    102.07/141.52 = 96.60/x
  3. Step 3: Cross multiply
    102.07x = 141.52 × 96.60
  4. Step 4: Simplify right side
    102.07x = 13,670.59
  5. Step 5: Solve for x
    x = 13,670.59/102.07
  6. Step 6: Final answer
    x = 133.94

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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.