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Finding the Fourth Proportional to 66.16, 99.42 and 44.92

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Solution

The fourth proportional to 66.16, 99.42 and 44.92 is: 67.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.16 : 99.42 = 44.92 : x
  2. Step 2: Convert to fraction form
    66.16/99.42 = 44.92/x
  3. Step 3: Cross multiply
    66.16x = 99.42 × 44.92
  4. Step 4: Simplify right side
    66.16x = 4,465.95
  5. Step 5: Solve for x
    x = 4,465.95/66.16
  6. Step 6: Final answer
    x = 67.50

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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.