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Finding the Fourth Proportional to 127.47, 175.65 and 88.14

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Solution

The fourth proportional to 127.47, 175.65 and 88.14 is: 121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.47 : 175.65 = 88.14 : x
  2. Step 2: Convert to fraction form
    127.47/175.65 = 88.14/x
  3. Step 3: Cross multiply
    127.47x = 175.65 × 88.14
  4. Step 4: Simplify right side
    127.47x = 15,481.79
  5. Step 5: Solve for x
    x = 15,481.79/127.47
  6. Step 6: Final answer
    x = 121.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.