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Finding the Fourth Proportional to 127.48, 175.98 and 113.56

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Solution

The fourth proportional to 127.48, 175.98 and 113.56 is: 156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.48 : 175.98 = 113.56 : x
  2. Step 2: Convert to fraction form
    127.48/175.98 = 113.56/x
  3. Step 3: Cross multiply
    127.48x = 175.98 × 113.56
  4. Step 4: Simplify right side
    127.48x = 19,984.29
  5. Step 5: Solve for x
    x = 19,984.29/127.48
  6. Step 6: Final answer
    x = 156.76

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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.