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Finding the Fourth Proportional to 35.17, 48.54 and 24.28

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Solution

The fourth proportional to 35.17, 48.54 and 24.28 is: 33.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.17 : 48.54 = 24.28 : x
  2. Step 2: Convert to fraction form
    35.17/48.54 = 24.28/x
  3. Step 3: Cross multiply
    35.17x = 48.54 × 24.28
  4. Step 4: Simplify right side
    35.17x = 1,178.55
  5. Step 5: Solve for x
    x = 1,178.55/35.17
  6. Step 6: Final answer
    x = 33.51

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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.