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Finding the Fourth Proportional to 28.84, 43.05 and 24.53

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Solution

The fourth proportional to 28.84, 43.05 and 24.53 is: 36.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.84 : 43.05 = 24.53 : x
  2. Step 2: Convert to fraction form
    28.84/43.05 = 24.53/x
  3. Step 3: Cross multiply
    28.84x = 43.05 × 24.53
  4. Step 4: Simplify right side
    28.84x = 1,056.22
  5. Step 5: Solve for x
    x = 1,056.22/28.84
  6. Step 6: Final answer
    x = 36.62

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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.