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Finding the Fourth Proportional to 53.42, 73.71 and 30.11

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Solution

The fourth proportional to 53.42, 73.71 and 30.11 is: 41.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.42 : 73.71 = 30.11 : x
  2. Step 2: Convert to fraction form
    53.42/73.71 = 30.11/x
  3. Step 3: Cross multiply
    53.42x = 73.71 × 30.11
  4. Step 4: Simplify right side
    53.42x = 2,219.41
  5. Step 5: Solve for x
    x = 2,219.41/53.42
  6. Step 6: Final answer
    x = 41.55

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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.