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Finding the Fourth Proportional to 127.35, 175.52 and 85.28

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Solution

The fourth proportional to 127.35, 175.52 and 85.28 is: 117.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.35 : 175.52 = 85.28 : x
  2. Step 2: Convert to fraction form
    127.35/175.52 = 85.28/x
  3. Step 3: Cross multiply
    127.35x = 175.52 × 85.28
  4. Step 4: Simplify right side
    127.35x = 14,967.04
  5. Step 5: Solve for x
    x = 14,967.04/127.35
  6. Step 6: Final answer
    x = 117.53

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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.