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Finding the Fourth Proportional to 70.99, 97.85 and 47.66

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Solution

The fourth proportional to 70.99, 97.85 and 47.66 is: 65.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.99 : 97.85 = 47.66 : x
  2. Step 2: Convert to fraction form
    70.99/97.85 = 47.66/x
  3. Step 3: Cross multiply
    70.99x = 97.85 × 47.66
  4. Step 4: Simplify right side
    70.99x = 4,663.16
  5. Step 5: Solve for x
    x = 4,663.16/70.99
  6. Step 6: Final answer
    x = 65.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.