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Finding the Fourth Proportional to 71.06, 97.99 and 47.75

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Solution

The fourth proportional to 71.06, 97.99 and 47.75 is: 65.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.06 : 97.99 = 47.75 : x
  2. Step 2: Convert to fraction form
    71.06/97.99 = 47.75/x
  3. Step 3: Cross multiply
    71.06x = 97.99 × 47.75
  4. Step 4: Simplify right side
    71.06x = 4,678.29
  5. Step 5: Solve for x
    x = 4,678.29/71.06
  6. Step 6: Final answer
    x = 65.84

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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.