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Finding the Fourth Proportional to 65.07, 97.68 and 53.13

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Solution

The fourth proportional to 65.07, 97.68 and 53.13 is: 79.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.07 : 97.68 = 53.13 : x
  2. Step 2: Convert to fraction form
    65.07/97.68 = 53.13/x
  3. Step 3: Cross multiply
    65.07x = 97.68 × 53.13
  4. Step 4: Simplify right side
    65.07x = 5,189.74
  5. Step 5: Solve for x
    x = 5,189.74/65.07
  6. Step 6: Final answer
    x = 79.76

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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.