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Finding the Fourth Proportional to 127.58, 176.08 and 106.82

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Solution

The fourth proportional to 127.58, 176.08 and 106.82 is: 147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.58 : 176.08 = 106.82 : x
  2. Step 2: Convert to fraction form
    127.58/176.08 = 106.82/x
  3. Step 3: Cross multiply
    127.58x = 176.08 × 106.82
  4. Step 4: Simplify right side
    127.58x = 18,808.87
  5. Step 5: Solve for x
    x = 18,808.87/127.58
  6. Step 6: Final answer
    x = 147.43

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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.