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Finding the Fourth Proportional to 38.53, 53.16 and 22.77

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Solution

The fourth proportional to 38.53, 53.16 and 22.77 is: 31.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.53 : 53.16 = 22.77 : x
  2. Step 2: Convert to fraction form
    38.53/53.16 = 22.77/x
  3. Step 3: Cross multiply
    38.53x = 53.16 × 22.77
  4. Step 4: Simplify right side
    38.53x = 1,210.52
  5. Step 5: Solve for x
    x = 1,210.52/38.53
  6. Step 6: Final answer
    x = 31.42

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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.