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Finding the Fourth Proportional to 66.76, 92.16 and 44.66

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Solution

The fourth proportional to 66.76, 92.16 and 44.66 is: 61.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.76 : 92.16 = 44.66 : x
  2. Step 2: Convert to fraction form
    66.76/92.16 = 44.66/x
  3. Step 3: Cross multiply
    66.76x = 92.16 × 44.66
  4. Step 4: Simplify right side
    66.76x = 4,116.10
  5. Step 5: Solve for x
    x = 4,116.10/66.76
  6. Step 6: Final answer
    x = 61.66

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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.