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Finding the Fourth Proportional to 22.58, 33.86 and 9.74

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Solution

The fourth proportional to 22.58, 33.86 and 9.74 is: 14.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.58 : 33.86 = 9.74 : x
  2. Step 2: Convert to fraction form
    22.58/33.86 = 9.74/x
  3. Step 3: Cross multiply
    22.58x = 33.86 × 9.74
  4. Step 4: Simplify right side
    22.58x = 329.58
  5. Step 5: Solve for x
    x = 329.58/22.58
  6. Step 6: Final answer
    x = 14.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.