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Finding the Fourth Proportional to 84.86, 127.30 and 36.10

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Solution

The fourth proportional to 84.86, 127.30 and 36.10 is: 54.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.86 : 127.30 = 36.10 : x
  2. Step 2: Convert to fraction form
    84.86/127.30 = 36.10/x
  3. Step 3: Cross multiply
    84.86x = 127.30 × 36.10
  4. Step 4: Simplify right side
    84.86x = 4,595.53
  5. Step 5: Solve for x
    x = 4,595.53/84.86
  6. Step 6: Final answer
    x = 54.15

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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.