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Finding the Fourth Proportional to 32.32, 44.55 and 23.07

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Solution

The fourth proportional to 32.32, 44.55 and 23.07 is: 31.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.32 : 44.55 = 23.07 : x
  2. Step 2: Convert to fraction form
    32.32/44.55 = 23.07/x
  3. Step 3: Cross multiply
    32.32x = 44.55 × 23.07
  4. Step 4: Simplify right side
    32.32x = 1,027.68
  5. Step 5: Solve for x
    x = 1,027.68/32.32
  6. Step 6: Final answer
    x = 31.80

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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.