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Finding the Fourth Proportional to 48.98, 67.58 and 29.57

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Solution

The fourth proportional to 48.98, 67.58 and 29.57 is: 40.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.98 : 67.58 = 29.57 : x
  2. Step 2: Convert to fraction form
    48.98/67.58 = 29.57/x
  3. Step 3: Cross multiply
    48.98x = 67.58 × 29.57
  4. Step 4: Simplify right side
    48.98x = 1,998.34
  5. Step 5: Solve for x
    x = 1,998.34/48.98
  6. Step 6: Final answer
    x = 40.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.