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Finding the Fourth Proportional to 108.32, 148.72 and 95.12

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Solution

The fourth proportional to 108.32, 148.72 and 95.12 is: 130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.32 : 148.72 = 95.12 : x
  2. Step 2: Convert to fraction form
    108.32/148.72 = 95.12/x
  3. Step 3: Cross multiply
    108.32x = 148.72 × 95.12
  4. Step 4: Simplify right side
    108.32x = 14,146.25
  5. Step 5: Solve for x
    x = 14,146.25/108.32
  6. Step 6: Final answer
    x = 130.60

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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.