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Finding the Fourth Proportional to 29.40, 40.56 and 27.06

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Solution

The fourth proportional to 29.40, 40.56 and 27.06 is: 37.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.40 : 40.56 = 27.06 : x
  2. Step 2: Convert to fraction form
    29.40/40.56 = 27.06/x
  3. Step 3: Cross multiply
    29.40x = 40.56 × 27.06
  4. Step 4: Simplify right side
    29.40x = 1,097.55
  5. Step 5: Solve for x
    x = 1,097.55/29.40
  6. Step 6: Final answer
    x = 37.33

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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.