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Finding the Fourth Proportional to 64.17, 88.47 and 57.69

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Solution

The fourth proportional to 64.17, 88.47 and 57.69 is: 79.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.17 : 88.47 = 57.69 : x
  2. Step 2: Convert to fraction form
    64.17/88.47 = 57.69/x
  3. Step 3: Cross multiply
    64.17x = 88.47 × 57.69
  4. Step 4: Simplify right side
    64.17x = 5,103.83
  5. Step 5: Solve for x
    x = 5,103.83/64.17
  6. Step 6: Final answer
    x = 79.54

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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.