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Finding the Fourth Proportional to 109.47, 151.13 and 83.26

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Solution

The fourth proportional to 109.47, 151.13 and 83.26 is: 114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.47 : 151.13 = 83.26 : x
  2. Step 2: Convert to fraction form
    109.47/151.13 = 83.26/x
  3. Step 3: Cross multiply
    109.47x = 151.13 × 83.26
  4. Step 4: Simplify right side
    109.47x = 12,583.08
  5. Step 5: Solve for x
    x = 12,583.08/109.47
  6. Step 6: Final answer
    x = 114.95

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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.