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Finding the Fourth Proportional to 29.98, 41.54 and 29.59

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Solution

The fourth proportional to 29.98, 41.54 and 29.59 is: 41.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.98 : 41.54 = 29.59 : x
  2. Step 2: Convert to fraction form
    29.98/41.54 = 29.59/x
  3. Step 3: Cross multiply
    29.98x = 41.54 × 29.59
  4. Step 4: Simplify right side
    29.98x = 1,229.17
  5. Step 5: Solve for x
    x = 1,229.17/29.98
  6. Step 6: Final answer
    x = 41.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.