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Finding the Fourth Proportional to 60.17, 89.82 and 51.64

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Solution

The fourth proportional to 60.17, 89.82 and 51.64 is: 77.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.17 : 89.82 = 51.64 : x
  2. Step 2: Convert to fraction form
    60.17/89.82 = 51.64/x
  3. Step 3: Cross multiply
    60.17x = 89.82 × 51.64
  4. Step 4: Simplify right side
    60.17x = 4,638.08
  5. Step 5: Solve for x
    x = 4,638.08/60.17
  6. Step 6: Final answer
    x = 77.09

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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.