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Finding the Fourth Proportional to 64.35, 88.81 and 39.78

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Solution

The fourth proportional to 64.35, 88.81 and 39.78 is: 54.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.35 : 88.81 = 39.78 : x
  2. Step 2: Convert to fraction form
    64.35/88.81 = 39.78/x
  3. Step 3: Cross multiply
    64.35x = 88.81 × 39.78
  4. Step 4: Simplify right side
    64.35x = 3,532.76
  5. Step 5: Solve for x
    x = 3,532.76/64.35
  6. Step 6: Final answer
    x = 54.90

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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.