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Finding the Fourth Proportional to 108.69, 162.86 and 59.90

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Solution

The fourth proportional to 108.69, 162.86 and 59.90 is: 89.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.69 : 162.86 = 59.90 : x
  2. Step 2: Convert to fraction form
    108.69/162.86 = 59.90/x
  3. Step 3: Cross multiply
    108.69x = 162.86 × 59.90
  4. Step 4: Simplify right side
    108.69x = 9,754.42
  5. Step 5: Solve for x
    x = 9,754.42/108.69
  6. Step 6: Final answer
    x = 89.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.