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Finding the Fourth Proportional to 71.09, 106.50 and 36.77

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Solution

The fourth proportional to 71.09, 106.50 and 36.77 is: 55.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.09 : 106.50 = 36.77 : x
  2. Step 2: Convert to fraction form
    71.09/106.50 = 36.77/x
  3. Step 3: Cross multiply
    71.09x = 106.50 × 36.77
  4. Step 4: Simplify right side
    71.09x = 3,915.61
  5. Step 5: Solve for x
    x = 3,915.61/71.09
  6. Step 6: Final answer
    x = 55.08

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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.