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Finding the Fourth Proportional to 137.61, 189.88 and 87.86

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Solution

The fourth proportional to 137.61, 189.88 and 87.86 is: 121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.61 : 189.88 = 87.86 : x
  2. Step 2: Convert to fraction form
    137.61/189.88 = 87.86/x
  3. Step 3: Cross multiply
    137.61x = 189.88 × 87.86
  4. Step 4: Simplify right side
    137.61x = 16,683.11
  5. Step 5: Solve for x
    x = 16,683.11/137.61
  6. Step 6: Final answer
    x = 121.23

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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.