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Finding the Fourth Proportional to 70.10, 96.54 and 50.66

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Solution

The fourth proportional to 70.10, 96.54 and 50.66 is: 69.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.10 : 96.54 = 50.66 : x
  2. Step 2: Convert to fraction form
    70.10/96.54 = 50.66/x
  3. Step 3: Cross multiply
    70.10x = 96.54 × 50.66
  4. Step 4: Simplify right side
    70.10x = 4,890.72
  5. Step 5: Solve for x
    x = 4,890.72/70.10
  6. Step 6: Final answer
    x = 69.77

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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.