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Finding the Fourth Proportional to 64.31, 88.68 and 45.85

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Solution

The fourth proportional to 64.31, 88.68 and 45.85 is: 63.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.31 : 88.68 = 45.85 : x
  2. Step 2: Convert to fraction form
    64.31/88.68 = 45.85/x
  3. Step 3: Cross multiply
    64.31x = 88.68 × 45.85
  4. Step 4: Simplify right side
    64.31x = 4,065.75
  5. Step 5: Solve for x
    x = 4,065.75/64.31
  6. Step 6: Final answer
    x = 63.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.