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Finding the Fourth Proportional to 66.40, 100.22 and 64.57

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Solution

The fourth proportional to 66.40, 100.22 and 64.57 is: 97.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.40 : 100.22 = 64.57 : x
  2. Step 2: Convert to fraction form
    66.40/100.22 = 64.57/x
  3. Step 3: Cross multiply
    66.40x = 100.22 × 64.57
  4. Step 4: Simplify right side
    66.40x = 6,471.21
  5. Step 5: Solve for x
    x = 6,471.21/66.40
  6. Step 6: Final answer
    x = 97.46

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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.