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Finding the Fourth Proportional to 102.48, 153.62 and 89.66

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Solution

The fourth proportional to 102.48, 153.62 and 89.66 is: 134.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.48 : 153.62 = 89.66 : x
  2. Step 2: Convert to fraction form
    102.48/153.62 = 89.66/x
  3. Step 3: Cross multiply
    102.48x = 153.62 × 89.66
  4. Step 4: Simplify right side
    102.48x = 13,773.57
  5. Step 5: Solve for x
    x = 13,773.57/102.48
  6. Step 6: Final answer
    x = 134.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.