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Finding the Fourth Proportional to 69.29, 95.68 and 65.45

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Solution

The fourth proportional to 69.29, 95.68 and 65.45 is: 90.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.29 : 95.68 = 65.45 : x
  2. Step 2: Convert to fraction form
    69.29/95.68 = 65.45/x
  3. Step 3: Cross multiply
    69.29x = 95.68 × 65.45
  4. Step 4: Simplify right side
    69.29x = 6,262.58
  5. Step 5: Solve for x
    x = 6,262.58/69.29
  6. Step 6: Final answer
    x = 90.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.