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Finding the Fourth Proportional to 22.56, 31.28 and 22

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Solution

The fourth proportional to 22.56, 31.28 and 22 is: 30.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.56 : 31.28 = 22 : x
  2. Step 2: Convert to fraction form
    22.56/31.28 = 22/x
  3. Step 3: Cross multiply
    22.56x = 31.28 × 22
  4. Step 4: Simplify right side
    22.56x = 688.16
  5. Step 5: Solve for x
    x = 688.16/22.56
  6. Step 6: Final answer
    x = 30.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.