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Finding the Fourth Proportional to 35.04, 48.14 and 29.56

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Solution

The fourth proportional to 35.04, 48.14 and 29.56 is: 40.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.04 : 48.14 = 29.56 : x
  2. Step 2: Convert to fraction form
    35.04/48.14 = 29.56/x
  3. Step 3: Cross multiply
    35.04x = 48.14 × 29.56
  4. Step 4: Simplify right side
    35.04x = 1,423.02
  5. Step 5: Solve for x
    x = 1,423.02/35.04
  6. Step 6: Final answer
    x = 40.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.