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Finding the Fourth Proportional to 78.68, 108.47 and 52.76

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Solution

The fourth proportional to 78.68, 108.47 and 52.76 is: 72.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.68 : 108.47 = 52.76 : x
  2. Step 2: Convert to fraction form
    78.68/108.47 = 52.76/x
  3. Step 3: Cross multiply
    78.68x = 108.47 × 52.76
  4. Step 4: Simplify right side
    78.68x = 5,722.88
  5. Step 5: Solve for x
    x = 5,722.88/78.68
  6. Step 6: Final answer
    x = 72.74

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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.