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Finding the Fourth Proportional to 127.47, 175.89 and 77.64

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Solution

The fourth proportional to 127.47, 175.89 and 77.64 is: 107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.47 : 175.89 = 77.64 : x
  2. Step 2: Convert to fraction form
    127.47/175.89 = 77.64/x
  3. Step 3: Cross multiply
    127.47x = 175.89 × 77.64
  4. Step 4: Simplify right side
    127.47x = 13,656.10
  5. Step 5: Solve for x
    x = 13,656.10/127.47
  6. Step 6: Final answer
    x = 107.13

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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.