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Finding the Fourth Proportional to 160.47, 240.68 and 57.75

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Solution

The fourth proportional to 160.47, 240.68 and 57.75 is: 86.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.47 : 240.68 = 57.75 : x
  2. Step 2: Convert to fraction form
    160.47/240.68 = 57.75/x
  3. Step 3: Cross multiply
    160.47x = 240.68 × 57.75
  4. Step 4: Simplify right side
    160.47x = 13,899.27
  5. Step 5: Solve for x
    x = 13,899.27/160.47
  6. Step 6: Final answer
    x = 86.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.