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Finding the Fourth Proportional to 65.87, 90.84 and 47.54

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Solution

The fourth proportional to 65.87, 90.84 and 47.54 is: 65.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.87 : 90.84 = 47.54 : x
  2. Step 2: Convert to fraction form
    65.87/90.84 = 47.54/x
  3. Step 3: Cross multiply
    65.87x = 90.84 × 47.54
  4. Step 4: Simplify right side
    65.87x = 4,318.53
  5. Step 5: Solve for x
    x = 4,318.53/65.87
  6. Step 6: Final answer
    x = 65.56

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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.