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Finding the Fourth Proportional to 30.52, 45.37 and 29.74

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Solution

The fourth proportional to 30.52, 45.37 and 29.74 is: 44.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.52 : 45.37 = 29.74 : x
  2. Step 2: Convert to fraction form
    30.52/45.37 = 29.74/x
  3. Step 3: Cross multiply
    30.52x = 45.37 × 29.74
  4. Step 4: Simplify right side
    30.52x = 1,349.16
  5. Step 5: Solve for x
    x = 1,349.16/30.52
  6. Step 6: Final answer
    x = 44.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.