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Finding the Fourth Proportional to 80.63, 111.23 and 53

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Solution

The fourth proportional to 80.63, 111.23 and 53 is: 73.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.63 : 111.23 = 53 : x
  2. Step 2: Convert to fraction form
    80.63/111.23 = 53/x
  3. Step 3: Cross multiply
    80.63x = 111.23 × 53
  4. Step 4: Simplify right side
    80.63x = 5,895.19
  5. Step 5: Solve for x
    x = 5,895.19/80.63
  6. Step 6: Final answer
    x = 73.11

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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.