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Finding the Fourth Proportional to 66, 99.57 and 65.37

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Solution

The fourth proportional to 66, 99.57 and 65.37 is: 98.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66 : 99.57 = 65.37 : x
  2. Step 2: Convert to fraction form
    66/99.57 = 65.37/x
  3. Step 3: Cross multiply
    66x = 99.57 × 65.37
  4. Step 4: Simplify right side
    66x = 6,508.89
  5. Step 5: Solve for x
    x = 6,508.89/66
  6. Step 6: Final answer
    x = 98.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.