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Finding the Fourth Proportional to 23.03, 31.76 and 14.40

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Solution

The fourth proportional to 23.03, 31.76 and 14.40 is: 19.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.03 : 31.76 = 14.40 : x
  2. Step 2: Convert to fraction form
    23.03/31.76 = 14.40/x
  3. Step 3: Cross multiply
    23.03x = 31.76 × 14.40
  4. Step 4: Simplify right side
    23.03x = 457.27
  5. Step 5: Solve for x
    x = 457.27/23.03
  6. Step 6: Final answer
    x = 19.86

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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.