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Finding the Fourth Proportional to 35.66, 49.12 and 29.50

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Solution

The fourth proportional to 35.66, 49.12 and 29.50 is: 40.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.66 : 49.12 = 29.50 : x
  2. Step 2: Convert to fraction form
    35.66/49.12 = 29.50/x
  3. Step 3: Cross multiply
    35.66x = 49.12 × 29.50
  4. Step 4: Simplify right side
    35.66x = 1,449.01
  5. Step 5: Solve for x
    x = 1,449.01/35.66
  6. Step 6: Final answer
    x = 40.64

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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.