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Finding the Fourth Proportional to 76.97, 105.95 and 64.55

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Solution

The fourth proportional to 76.97, 105.95 and 64.55 is: 88.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.97 : 105.95 = 64.55 : x
  2. Step 2: Convert to fraction form
    76.97/105.95 = 64.55/x
  3. Step 3: Cross multiply
    76.97x = 105.95 × 64.55
  4. Step 4: Simplify right side
    76.97x = 6,839.07
  5. Step 5: Solve for x
    x = 6,839.07/76.97
  6. Step 6: Final answer
    x = 88.85

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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.