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Finding the Fourth Proportional to 31.24, 43.06 and 23.45

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Solution

The fourth proportional to 31.24, 43.06 and 23.45 is: 32.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.24 : 43.06 = 23.45 : x
  2. Step 2: Convert to fraction form
    31.24/43.06 = 23.45/x
  3. Step 3: Cross multiply
    31.24x = 43.06 × 23.45
  4. Step 4: Simplify right side
    31.24x = 1,009.81
  5. Step 5: Solve for x
    x = 1,009.81/31.24
  6. Step 6: Final answer
    x = 32.32

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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.