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Finding the Fourth Proportional to 105.03, 157.38 and 66.39

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Solution

The fourth proportional to 105.03, 157.38 and 66.39 is: 99.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.03 : 157.38 = 66.39 : x
  2. Step 2: Convert to fraction form
    105.03/157.38 = 66.39/x
  3. Step 3: Cross multiply
    105.03x = 157.38 × 66.39
  4. Step 4: Simplify right side
    105.03x = 10,448.46
  5. Step 5: Solve for x
    x = 10,448.46/105.03
  6. Step 6: Final answer
    x = 99.48

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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.