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Finding the Fourth Proportional to 127.16, 175.52 and 78.07

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Solution

The fourth proportional to 127.16, 175.52 and 78.07 is: 107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.16 : 175.52 = 78.07 : x
  2. Step 2: Convert to fraction form
    127.16/175.52 = 78.07/x
  3. Step 3: Cross multiply
    127.16x = 175.52 × 78.07
  4. Step 4: Simplify right side
    127.16x = 13,702.85
  5. Step 5: Solve for x
    x = 13,702.85/127.16
  6. Step 6: Final answer
    x = 107.76

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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.