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Finding the Fourth Proportional to 65.16, 97.62 and 53.74

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Solution

The fourth proportional to 65.16, 97.62 and 53.74 is: 80.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.16 : 97.62 = 53.74 : x
  2. Step 2: Convert to fraction form
    65.16/97.62 = 53.74/x
  3. Step 3: Cross multiply
    65.16x = 97.62 × 53.74
  4. Step 4: Simplify right side
    65.16x = 5,246.10
  5. Step 5: Solve for x
    x = 5,246.10/65.16
  6. Step 6: Final answer
    x = 80.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.