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Finding the Fourth Proportional to 66.08, 91.12 and 49.76

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Solution

The fourth proportional to 66.08, 91.12 and 49.76 is: 68.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.08 : 91.12 = 49.76 : x
  2. Step 2: Convert to fraction form
    66.08/91.12 = 49.76/x
  3. Step 3: Cross multiply
    66.08x = 91.12 × 49.76
  4. Step 4: Simplify right side
    66.08x = 4,534.13
  5. Step 5: Solve for x
    x = 4,534.13/66.08
  6. Step 6: Final answer
    x = 68.62

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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.