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Finding the Fourth Proportional to 79.47, 119.58 and 65.86

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Solution

The fourth proportional to 79.47, 119.58 and 65.86 is: 99.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.47 : 119.58 = 65.86 : x
  2. Step 2: Convert to fraction form
    79.47/119.58 = 65.86/x
  3. Step 3: Cross multiply
    79.47x = 119.58 × 65.86
  4. Step 4: Simplify right side
    79.47x = 7,874.61
  5. Step 5: Solve for x
    x = 7,874.61/79.47
  6. Step 6: Final answer
    x = 99.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.