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Finding the Fourth Proportional to 35.88, 49.40 and 31.28

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Solution

The fourth proportional to 35.88, 49.40 and 31.28 is: 43.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.88 : 49.40 = 31.28 : x
  2. Step 2: Convert to fraction form
    35.88/49.40 = 31.28/x
  3. Step 3: Cross multiply
    35.88x = 49.40 × 31.28
  4. Step 4: Simplify right side
    35.88x = 1,545.23
  5. Step 5: Solve for x
    x = 1,545.23/35.88
  6. Step 6: Final answer
    x = 43.07

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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.