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Finding the Fourth Proportional to 127.86, 176.59 and 99.10

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Solution

The fourth proportional to 127.86, 176.59 and 99.10 is: 136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.86 : 176.59 = 99.10 : x
  2. Step 2: Convert to fraction form
    127.86/176.59 = 99.10/x
  3. Step 3: Cross multiply
    127.86x = 176.59 × 99.10
  4. Step 4: Simplify right side
    127.86x = 17,500.07
  5. Step 5: Solve for x
    x = 17,500.07/127.86
  6. Step 6: Final answer
    x = 136.87

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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.