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Finding the Fourth Proportional to 64.75, 96.66 and 56.15

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Solution

The fourth proportional to 64.75, 96.66 and 56.15 is: 83.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.75 : 96.66 = 56.15 : x
  2. Step 2: Convert to fraction form
    64.75/96.66 = 56.15/x
  3. Step 3: Cross multiply
    64.75x = 96.66 × 56.15
  4. Step 4: Simplify right side
    64.75x = 5,427.46
  5. Step 5: Solve for x
    x = 5,427.46/64.75
  6. Step 6: Final answer
    x = 83.82

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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.