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Finding the Fourth Proportional to 29.90, 41.13 and 26.46

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Solution

The fourth proportional to 29.90, 41.13 and 26.46 is: 36.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.90 : 41.13 = 26.46 : x
  2. Step 2: Convert to fraction form
    29.90/41.13 = 26.46/x
  3. Step 3: Cross multiply
    29.90x = 41.13 × 26.46
  4. Step 4: Simplify right side
    29.90x = 1,088.30
  5. Step 5: Solve for x
    x = 1,088.30/29.90
  6. Step 6: Final answer
    x = 36.39

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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.