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Finding the Fourth Proportional to 48.84, 73.22 and 29.57

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Solution

The fourth proportional to 48.84, 73.22 and 29.57 is: 44.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.84 : 73.22 = 29.57 : x
  2. Step 2: Convert to fraction form
    48.84/73.22 = 29.57/x
  3. Step 3: Cross multiply
    48.84x = 73.22 × 29.57
  4. Step 4: Simplify right side
    48.84x = 2,164.60
  5. Step 5: Solve for x
    x = 2,164.60/48.84
  6. Step 6: Final answer
    x = 44.32

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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.