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Finding the Fourth Proportional to 40.70, 56.14 and 29.76

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Solution

The fourth proportional to 40.70, 56.14 and 29.76 is: 41.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.70 : 56.14 = 29.76 : x
  2. Step 2: Convert to fraction form
    40.70/56.14 = 29.76/x
  3. Step 3: Cross multiply
    40.70x = 56.14 × 29.76
  4. Step 4: Simplify right side
    40.70x = 1,670.65
  5. Step 5: Solve for x
    x = 1,670.65/40.70
  6. Step 6: Final answer
    x = 41.05

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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.