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Finding the Fourth Proportional to 109.47, 151.08 and 65.83

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Solution

The fourth proportional to 109.47, 151.08 and 65.83 is: 90.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.47 : 151.08 = 65.83 : x
  2. Step 2: Convert to fraction form
    109.47/151.08 = 65.83/x
  3. Step 3: Cross multiply
    109.47x = 151.08 × 65.83
  4. Step 4: Simplify right side
    109.47x = 9,945.27
  5. Step 5: Solve for x
    x = 9,945.27/109.47
  6. Step 6: Final answer
    x = 90.85

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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.