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Finding the Fourth Proportional to 64.16, 95.78 and 57.40

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Solution

The fourth proportional to 64.16, 95.78 and 57.40 is: 85.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.16 : 95.78 = 57.40 : x
  2. Step 2: Convert to fraction form
    64.16/95.78 = 57.40/x
  3. Step 3: Cross multiply
    64.16x = 95.78 × 57.40
  4. Step 4: Simplify right side
    64.16x = 5,497.77
  5. Step 5: Solve for x
    x = 5,497.77/64.16
  6. Step 6: Final answer
    x = 85.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.