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Finding the Fourth Proportional to 71.01, 97.74 and 51.57

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Solution

The fourth proportional to 71.01, 97.74 and 51.57 is: 70.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.01 : 97.74 = 51.57 : x
  2. Step 2: Convert to fraction form
    71.01/97.74 = 51.57/x
  3. Step 3: Cross multiply
    71.01x = 97.74 × 51.57
  4. Step 4: Simplify right side
    71.01x = 5,040.45
  5. Step 5: Solve for x
    x = 5,040.45/71.01
  6. Step 6: Final answer
    x = 70.98

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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.