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Finding the Fourth Proportional to 88.61, 132.81 and 45.24

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Solution

The fourth proportional to 88.61, 132.81 and 45.24 is: 67.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.61 : 132.81 = 45.24 : x
  2. Step 2: Convert to fraction form
    88.61/132.81 = 45.24/x
  3. Step 3: Cross multiply
    88.61x = 132.81 × 45.24
  4. Step 4: Simplify right side
    88.61x = 6,008.40
  5. Step 5: Solve for x
    x = 6,008.40/88.61
  6. Step 6: Final answer
    x = 67.81

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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.