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Finding the Fourth Proportional to 65.25, 89.76 and 57.42

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Solution

The fourth proportional to 65.25, 89.76 and 57.42 is: 78.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.25 : 89.76 = 57.42 : x
  2. Step 2: Convert to fraction form
    65.25/89.76 = 57.42/x
  3. Step 3: Cross multiply
    65.25x = 89.76 × 57.42
  4. Step 4: Simplify right side
    65.25x = 5,154.02
  5. Step 5: Solve for x
    x = 5,154.02/65.25
  6. Step 6: Final answer
    x = 78.99

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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.