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Finding the Fourth Proportional to 79.61, 118.53 and 78.47

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Solution

The fourth proportional to 79.61, 118.53 and 78.47 is: 116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.61 : 118.53 = 78.47 : x
  2. Step 2: Convert to fraction form
    79.61/118.53 = 78.47/x
  3. Step 3: Cross multiply
    79.61x = 118.53 × 78.47
  4. Step 4: Simplify right side
    79.61x = 9,300.83
  5. Step 5: Solve for x
    x = 9,300.83/79.61
  6. Step 6: Final answer
    x = 116.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.