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Finding the Fourth Proportional to 32.58, 44.88 and 30.96

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Solution

The fourth proportional to 32.58, 44.88 and 30.96 is: 42.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.58 : 44.88 = 30.96 : x
  2. Step 2: Convert to fraction form
    32.58/44.88 = 30.96/x
  3. Step 3: Cross multiply
    32.58x = 44.88 × 30.96
  4. Step 4: Simplify right side
    32.58x = 1,389.48
  5. Step 5: Solve for x
    x = 1,389.48/32.58
  6. Step 6: Final answer
    x = 42.65

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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.