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Finding the Fourth Proportional to 66.96, 99.90 and 63.77

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Solution

The fourth proportional to 66.96, 99.90 and 63.77 is: 95.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.96 : 99.90 = 63.77 : x
  2. Step 2: Convert to fraction form
    66.96/99.90 = 63.77/x
  3. Step 3: Cross multiply
    66.96x = 99.90 × 63.77
  4. Step 4: Simplify right side
    66.96x = 6,370.12
  5. Step 5: Solve for x
    x = 6,370.12/66.96
  6. Step 6: Final answer
    x = 95.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.