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Finding the Fourth Proportional to 65.16, 97.66 and 53.08

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Solution

The fourth proportional to 65.16, 97.66 and 53.08 is: 79.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.16 : 97.66 = 53.08 : x
  2. Step 2: Convert to fraction form
    65.16/97.66 = 53.08/x
  3. Step 3: Cross multiply
    65.16x = 97.66 × 53.08
  4. Step 4: Simplify right side
    65.16x = 5,183.79
  5. Step 5: Solve for x
    x = 5,183.79/65.16
  6. Step 6: Final answer
    x = 79.55

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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.