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Finding the Fourth Proportional to 109.81, 151.50 and 91.45

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Solution

The fourth proportional to 109.81, 151.50 and 91.45 is: 126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.81 : 151.50 = 91.45 : x
  2. Step 2: Convert to fraction form
    109.81/151.50 = 91.45/x
  3. Step 3: Cross multiply
    109.81x = 151.50 × 91.45
  4. Step 4: Simplify right side
    109.81x = 13,854.68
  5. Step 5: Solve for x
    x = 13,854.68/109.81
  6. Step 6: Final answer
    x = 126.17

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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.