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Finding the Fourth Proportional to 127.42, 176.02 and 113.60

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Solution

The fourth proportional to 127.42, 176.02 and 113.60 is: 156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.42 : 176.02 = 113.60 : x
  2. Step 2: Convert to fraction form
    127.42/176.02 = 113.60/x
  3. Step 3: Cross multiply
    127.42x = 176.02 × 113.60
  4. Step 4: Simplify right side
    127.42x = 19,996.67
  5. Step 5: Solve for x
    x = 19,996.67/127.42
  6. Step 6: Final answer
    x = 156.93

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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.