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Finding the Fourth Proportional to 95.72, 132.14 and 89.58

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Solution

The fourth proportional to 95.72, 132.14 and 89.58 is: 123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.72 : 132.14 = 89.58 : x
  2. Step 2: Convert to fraction form
    95.72/132.14 = 89.58/x
  3. Step 3: Cross multiply
    95.72x = 132.14 × 89.58
  4. Step 4: Simplify right side
    95.72x = 11,837.10
  5. Step 5: Solve for x
    x = 11,837.10/95.72
  6. Step 6: Final answer
    x = 123.66

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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.