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Finding the Fourth Proportional to 66, 99.08 and 65.71

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Solution

The fourth proportional to 66, 99.08 and 65.71 is: 98.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66 : 99.08 = 65.71 : x
  2. Step 2: Convert to fraction form
    66/99.08 = 65.71/x
  3. Step 3: Cross multiply
    66x = 99.08 × 65.71
  4. Step 4: Simplify right side
    66x = 6,510.55
  5. Step 5: Solve for x
    x = 6,510.55/66
  6. Step 6: Final answer
    x = 98.64

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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.