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Finding the Fourth Proportional to 76.34, 114.53 and 24.99

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Solution

The fourth proportional to 76.34, 114.53 and 24.99 is: 37.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.34 : 114.53 = 24.99 : x
  2. Step 2: Convert to fraction form
    76.34/114.53 = 24.99/x
  3. Step 3: Cross multiply
    76.34x = 114.53 × 24.99
  4. Step 4: Simplify right side
    76.34x = 2,861.67
  5. Step 5: Solve for x
    x = 2,861.67/76.34
  6. Step 6: Final answer
    x = 37.48

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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.