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Finding the Fourth Proportional to 58.50, 80.72 and 36.66

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Solution

The fourth proportional to 58.50, 80.72 and 36.66 is: 50.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.50 : 80.72 = 36.66 : x
  2. Step 2: Convert to fraction form
    58.50/80.72 = 36.66/x
  3. Step 3: Cross multiply
    58.50x = 80.72 × 36.66
  4. Step 4: Simplify right side
    58.50x = 2,959.20
  5. Step 5: Solve for x
    x = 2,959.20/58.50
  6. Step 6: Final answer
    x = 50.58

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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.