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Finding the Fourth Proportional to 65.46, 97.74 and 56.92

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Solution

The fourth proportional to 65.46, 97.74 and 56.92 is: 84.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.46 : 97.74 = 56.92 : x
  2. Step 2: Convert to fraction form
    65.46/97.74 = 56.92/x
  3. Step 3: Cross multiply
    65.46x = 97.74 × 56.92
  4. Step 4: Simplify right side
    65.46x = 5,563.33
  5. Step 5: Solve for x
    x = 5,563.33/65.46
  6. Step 6: Final answer
    x = 84.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.