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Finding the Fourth Proportional to 53.65, 80.32 and 40.86

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Solution

The fourth proportional to 53.65, 80.32 and 40.86 is: 61.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.65 : 80.32 = 40.86 : x
  2. Step 2: Convert to fraction form
    53.65/80.32 = 40.86/x
  3. Step 3: Cross multiply
    53.65x = 80.32 × 40.86
  4. Step 4: Simplify right side
    53.65x = 3,281.85
  5. Step 5: Solve for x
    x = 3,281.85/53.65
  6. Step 6: Final answer
    x = 61.17

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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.