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Finding the Fourth Proportional to 35.31, 48.68 and 23.01

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Solution

The fourth proportional to 35.31, 48.68 and 23.01 is: 31.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.31 : 48.68 = 23.01 : x
  2. Step 2: Convert to fraction form
    35.31/48.68 = 23.01/x
  3. Step 3: Cross multiply
    35.31x = 48.68 × 23.01
  4. Step 4: Simplify right side
    35.31x = 1,120.13
  5. Step 5: Solve for x
    x = 1,120.13/35.31
  6. Step 6: Final answer
    x = 31.72

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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.