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Finding the Fourth Proportional to 108.02, 148.78 and 93.44

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Solution

The fourth proportional to 108.02, 148.78 and 93.44 is: 128.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.02 : 148.78 = 93.44 : x
  2. Step 2: Convert to fraction form
    108.02/148.78 = 93.44/x
  3. Step 3: Cross multiply
    108.02x = 148.78 × 93.44
  4. Step 4: Simplify right side
    108.02x = 13,902.00
  5. Step 5: Solve for x
    x = 13,902.00/108.02
  6. Step 6: Final answer
    x = 128.70

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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.