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Finding the Fourth Proportional to 22.59, 31.16 and 16.45

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Solution

The fourth proportional to 22.59, 31.16 and 16.45 is: 22.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.59 : 31.16 = 16.45 : x
  2. Step 2: Convert to fraction form
    22.59/31.16 = 16.45/x
  3. Step 3: Cross multiply
    22.59x = 31.16 × 16.45
  4. Step 4: Simplify right side
    22.59x = 512.58
  5. Step 5: Solve for x
    x = 512.58/22.59
  6. Step 6: Final answer
    x = 22.69

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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.