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Finding the Fourth Proportional to 29.82, 44.53 and 24.77

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Solution

The fourth proportional to 29.82, 44.53 and 24.77 is: 36.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.82 : 44.53 = 24.77 : x
  2. Step 2: Convert to fraction form
    29.82/44.53 = 24.77/x
  3. Step 3: Cross multiply
    29.82x = 44.53 × 24.77
  4. Step 4: Simplify right side
    29.82x = 1,102.72
  5. Step 5: Solve for x
    x = 1,102.72/29.82
  6. Step 6: Final answer
    x = 36.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.