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Finding the Fourth Proportional to 22.95, 31.67 and 17.76

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Solution

The fourth proportional to 22.95, 31.67 and 17.76 is: 24.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.95 : 31.67 = 17.76 : x
  2. Step 2: Convert to fraction form
    22.95/31.67 = 17.76/x
  3. Step 3: Cross multiply
    22.95x = 31.67 × 17.76
  4. Step 4: Simplify right side
    22.95x = 562.21
  5. Step 5: Solve for x
    x = 562.21/22.95
  6. Step 6: Final answer
    x = 24.50

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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.