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Finding the Fourth Proportional to 30.32, 41.84 and 23.02

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Solution

The fourth proportional to 30.32, 41.84 and 23.02 is: 31.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.32 : 41.84 = 23.02 : x
  2. Step 2: Convert to fraction form
    30.32/41.84 = 23.02/x
  3. Step 3: Cross multiply
    30.32x = 41.84 × 23.02
  4. Step 4: Simplify right side
    30.32x = 963.16
  5. Step 5: Solve for x
    x = 963.16/30.32
  6. Step 6: Final answer
    x = 31.77

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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.