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Finding the Fourth Proportional to 108.64, 148.84 and 104.53

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Solution

The fourth proportional to 108.64, 148.84 and 104.53 is: 143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.64 : 148.84 = 104.53 : x
  2. Step 2: Convert to fraction form
    108.64/148.84 = 104.53/x
  3. Step 3: Cross multiply
    108.64x = 148.84 × 104.53
  4. Step 4: Simplify right side
    108.64x = 15,557.72
  5. Step 5: Solve for x
    x = 15,557.72/108.64
  6. Step 6: Final answer
    x = 143.20

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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.