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Finding the Fourth Proportional to 108.81, 150.16 and 59.69

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Solution

The fourth proportional to 108.81, 150.16 and 59.69 is: 82.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.81 : 150.16 = 59.69 : x
  2. Step 2: Convert to fraction form
    108.81/150.16 = 59.69/x
  3. Step 3: Cross multiply
    108.81x = 150.16 × 59.69
  4. Step 4: Simplify right side
    108.81x = 8,963.61
  5. Step 5: Solve for x
    x = 8,963.61/108.81
  6. Step 6: Final answer
    x = 82.38

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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.