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Finding the Fourth Proportional to 127.35, 175.71 and 77.58

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Solution

The fourth proportional to 127.35, 175.71 and 77.58 is: 107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.35 : 175.71 = 77.58 : x
  2. Step 2: Convert to fraction form
    127.35/175.71 = 77.58/x
  3. Step 3: Cross multiply
    127.35x = 175.71 × 77.58
  4. Step 4: Simplify right side
    127.35x = 13,631.87
  5. Step 5: Solve for x
    x = 13,631.87/127.35
  6. Step 6: Final answer
    x = 107.04

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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.