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Finding the Fourth Proportional to 30.72, 42.32 and 23.40

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Solution

The fourth proportional to 30.72, 42.32 and 23.40 is: 32.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.72 : 42.32 = 23.40 : x
  2. Step 2: Convert to fraction form
    30.72/42.32 = 23.40/x
  3. Step 3: Cross multiply
    30.72x = 42.32 × 23.40
  4. Step 4: Simplify right side
    30.72x = 990.29
  5. Step 5: Solve for x
    x = 990.29/30.72
  6. Step 6: Final answer
    x = 32.24

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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.