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Finding the Fourth Proportional to 71.37, 98.46 and 52.95

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Solution

The fourth proportional to 71.37, 98.46 and 52.95 is: 73.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.37 : 98.46 = 52.95 : x
  2. Step 2: Convert to fraction form
    71.37/98.46 = 52.95/x
  3. Step 3: Cross multiply
    71.37x = 98.46 × 52.95
  4. Step 4: Simplify right side
    71.37x = 5,213.46
  5. Step 5: Solve for x
    x = 5,213.46/71.37
  6. Step 6: Final answer
    x = 73.05

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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.