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Finding the Fourth Proportional to 29.34, 40.45 and 22.86

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Solution

The fourth proportional to 29.34, 40.45 and 22.86 is: 31.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.34 : 40.45 = 22.86 : x
  2. Step 2: Convert to fraction form
    29.34/40.45 = 22.86/x
  3. Step 3: Cross multiply
    29.34x = 40.45 × 22.86
  4. Step 4: Simplify right side
    29.34x = 924.69
  5. Step 5: Solve for x
    x = 924.69/29.34
  6. Step 6: Final answer
    x = 31.52

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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.