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Finding the Fourth Proportional to 105.05, 157.54 and 66.47

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Solution

The fourth proportional to 105.05, 157.54 and 66.47 is: 99.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.05 : 157.54 = 66.47 : x
  2. Step 2: Convert to fraction form
    105.05/157.54 = 66.47/x
  3. Step 3: Cross multiply
    105.05x = 157.54 × 66.47
  4. Step 4: Simplify right side
    105.05x = 10,472.16
  5. Step 5: Solve for x
    x = 10,472.16/105.05
  6. Step 6: Final answer
    x = 99.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.