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Finding the Fourth Proportional to 22.49, 31.08 and 17.69

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Solution

The fourth proportional to 22.49, 31.08 and 17.69 is: 24.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.49 : 31.08 = 17.69 : x
  2. Step 2: Convert to fraction form
    22.49/31.08 = 17.69/x
  3. Step 3: Cross multiply
    22.49x = 31.08 × 17.69
  4. Step 4: Simplify right side
    22.49x = 549.81
  5. Step 5: Solve for x
    x = 549.81/22.49
  6. Step 6: Final answer
    x = 24.45

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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.