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Finding the Fourth Proportional to 65.04, 97.57 and 24.46

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Solution

The fourth proportional to 65.04, 97.57 and 24.46 is: 36.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.04 : 97.57 = 24.46 : x
  2. Step 2: Convert to fraction form
    65.04/97.57 = 24.46/x
  3. Step 3: Cross multiply
    65.04x = 97.57 × 24.46
  4. Step 4: Simplify right side
    65.04x = 2,385.95
  5. Step 5: Solve for x
    x = 2,385.95/65.04
  6. Step 6: Final answer
    x = 36.69

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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.