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Finding the Fourth Proportional to 29.34, 40.47 and 22.07

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Solution

The fourth proportional to 29.34, 40.47 and 22.07 is: 30.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.34 : 40.47 = 22.07 : x
  2. Step 2: Convert to fraction form
    29.34/40.47 = 22.07/x
  3. Step 3: Cross multiply
    29.34x = 40.47 × 22.07
  4. Step 4: Simplify right side
    29.34x = 893.17
  5. Step 5: Solve for x
    x = 893.17/29.34
  6. Step 6: Final answer
    x = 30.44

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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.