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Finding the Fourth Proportional to 77.47, 106.84 and 65.86

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Solution

The fourth proportional to 77.47, 106.84 and 65.86 is: 90.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.47 : 106.84 = 65.86 : x
  2. Step 2: Convert to fraction form
    77.47/106.84 = 65.86/x
  3. Step 3: Cross multiply
    77.47x = 106.84 × 65.86
  4. Step 4: Simplify right side
    77.47x = 7,036.48
  5. Step 5: Solve for x
    x = 7,036.48/77.47
  6. Step 6: Final answer
    x = 90.83

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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.