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Finding the Fourth Proportional to 53.49, 74.11 and 52.23

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Solution

The fourth proportional to 53.49, 74.11 and 52.23 is: 72.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.49 : 74.11 = 52.23 : x
  2. Step 2: Convert to fraction form
    53.49/74.11 = 52.23/x
  3. Step 3: Cross multiply
    53.49x = 74.11 × 52.23
  4. Step 4: Simplify right side
    53.49x = 3,870.77
  5. Step 5: Solve for x
    x = 3,870.77/53.49
  6. Step 6: Final answer
    x = 72.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.