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Finding the Fourth Proportional to 29.95, 45 and 26.54

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Solution

The fourth proportional to 29.95, 45 and 26.54 is: 39.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.95 : 45 = 26.54 : x
  2. Step 2: Convert to fraction form
    29.95/45 = 26.54/x
  3. Step 3: Cross multiply
    29.95x = 45 × 26.54
  4. Step 4: Simplify right side
    29.95x = 1,194.08
  5. Step 5: Solve for x
    x = 1,194.08/29.95
  6. Step 6: Final answer
    x = 39.87

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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.