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Finding the Fourth Proportional to 127.46, 175.86 and 78.32

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Solution

The fourth proportional to 127.46, 175.86 and 78.32 is: 108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.46 : 175.86 = 78.32 : x
  2. Step 2: Convert to fraction form
    127.46/175.86 = 78.32/x
  3. Step 3: Cross multiply
    127.46x = 175.86 × 78.32
  4. Step 4: Simplify right side
    127.46x = 13,773.36
  5. Step 5: Solve for x
    x = 13,773.36/127.46
  6. Step 6: Final answer
    x = 108.06

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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.