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Finding the Fourth Proportional to 135.87, 187.59 and 86.10

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Solution

The fourth proportional to 135.87, 187.59 and 86.10 is: 118.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.87 : 187.59 = 86.10 : x
  2. Step 2: Convert to fraction form
    135.87/187.59 = 86.10/x
  3. Step 3: Cross multiply
    135.87x = 187.59 × 86.10
  4. Step 4: Simplify right side
    135.87x = 16,151.50
  5. Step 5: Solve for x
    x = 16,151.50/135.87
  6. Step 6: Final answer
    x = 118.87

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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.