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Finding the Fourth Proportional to 22.58, 31.14 and 22.17

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Solution

The fourth proportional to 22.58, 31.14 and 22.17 is: 30.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.58 : 31.14 = 22.17 : x
  2. Step 2: Convert to fraction form
    22.58/31.14 = 22.17/x
  3. Step 3: Cross multiply
    22.58x = 31.14 × 22.17
  4. Step 4: Simplify right side
    22.58x = 690.37
  5. Step 5: Solve for x
    x = 690.37/22.58
  6. Step 6: Final answer
    x = 30.57

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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.