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Finding the Fourth Proportional to 95.12, 130.48 and 89.60

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Solution

The fourth proportional to 95.12, 130.48 and 89.60 is: 122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.12 : 130.48 = 89.60 : x
  2. Step 2: Convert to fraction form
    95.12/130.48 = 89.60/x
  3. Step 3: Cross multiply
    95.12x = 130.48 × 89.60
  4. Step 4: Simplify right side
    95.12x = 11,691.01
  5. Step 5: Solve for x
    x = 11,691.01/95.12
  6. Step 6: Final answer
    x = 122.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.