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Finding the Fourth Proportional to 102.58, 141.58 and 63.76

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Solution

The fourth proportional to 102.58, 141.58 and 63.76 is: 88.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.58 : 141.58 = 63.76 : x
  2. Step 2: Convert to fraction form
    102.58/141.58 = 63.76/x
  3. Step 3: Cross multiply
    102.58x = 141.58 × 63.76
  4. Step 4: Simplify right side
    102.58x = 9,027.14
  5. Step 5: Solve for x
    x = 9,027.14/102.58
  6. Step 6: Final answer
    x = 88.00

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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.