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Finding the Fourth Proportional to 102.03, 141.08 and 88.35

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Solution

The fourth proportional to 102.03, 141.08 and 88.35 is: 122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.03 : 141.08 = 88.35 : x
  2. Step 2: Convert to fraction form
    102.03/141.08 = 88.35/x
  3. Step 3: Cross multiply
    102.03x = 141.08 × 88.35
  4. Step 4: Simplify right side
    102.03x = 12,463.98
  5. Step 5: Solve for x
    x = 12,463.98/102.03
  6. Step 6: Final answer
    x = 122.16

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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.