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Finding the Fourth Proportional to 22.70, 31.32 and 13.00

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Solution

The fourth proportional to 22.70, 31.32 and 13.00 is: 17.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.70 : 31.32 = 13.00 : x
  2. Step 2: Convert to fraction form
    22.70/31.32 = 13.00/x
  3. Step 3: Cross multiply
    22.70x = 31.32 × 13.00
  4. Step 4: Simplify right side
    22.70x = 407.10
  5. Step 5: Solve for x
    x = 407.10/22.70
  6. Step 6: Final answer
    x = 17.93

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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.