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Finding the Fourth Proportional to 127.42, 175.93 and 97.86

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Solution

The fourth proportional to 127.42, 175.93 and 97.86 is: 135.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.42 : 175.93 = 97.86 : x
  2. Step 2: Convert to fraction form
    127.42/175.93 = 97.86/x
  3. Step 3: Cross multiply
    127.42x = 175.93 × 97.86
  4. Step 4: Simplify right side
    127.42x = 17,216.25
  5. Step 5: Solve for x
    x = 17,216.25/127.42
  6. Step 6: Final answer
    x = 135.11

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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.