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Finding the Fourth Proportional to 65.38, 90.34 and 53.69

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Solution

The fourth proportional to 65.38, 90.34 and 53.69 is: 74.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.38 : 90.34 = 53.69 : x
  2. Step 2: Convert to fraction form
    65.38/90.34 = 53.69/x
  3. Step 3: Cross multiply
    65.38x = 90.34 × 53.69
  4. Step 4: Simplify right side
    65.38x = 4,850.35
  5. Step 5: Solve for x
    x = 4,850.35/65.38
  6. Step 6: Final answer
    x = 74.19

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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.