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Finding the Fourth Proportional to 29.78, 41.06 and 26.50

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Solution

The fourth proportional to 29.78, 41.06 and 26.50 is: 36.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.78 : 41.06 = 26.50 : x
  2. Step 2: Convert to fraction form
    29.78/41.06 = 26.50/x
  3. Step 3: Cross multiply
    29.78x = 41.06 × 26.50
  4. Step 4: Simplify right side
    29.78x = 1,088.21
  5. Step 5: Solve for x
    x = 1,088.21/29.78
  6. Step 6: Final answer
    x = 36.55

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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.