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Finding the Fourth Proportional to 127, 175.40 and 78

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Solution

The fourth proportional to 127, 175.40 and 78 is: 107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    127 : 175.40 = 78 : x
  2. Step 2: Convert to fraction form
    127/175.40 = 78/x
  3. Step 3: Cross multiply
    127x = 175.40 × 78
  4. Step 4: Simplify right side
    127x = 13,681.20
  5. Step 5: Solve for x
    x = 13,681.20/127
  6. Step 6: Final answer
    x = 107.73

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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.