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Finding the Fourth Proportional to 30.77, 42.52 and 29.39

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Solution

The fourth proportional to 30.77, 42.52 and 29.39 is: 40.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.77 : 42.52 = 29.39 : x
  2. Step 2: Convert to fraction form
    30.77/42.52 = 29.39/x
  3. Step 3: Cross multiply
    30.77x = 42.52 × 29.39
  4. Step 4: Simplify right side
    30.77x = 1,249.38
  5. Step 5: Solve for x
    x = 1,249.38/30.77
  6. Step 6: Final answer
    x = 40.61

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1.5x scale

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.