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Finding the Fourth Proportional to 106.02, 157.97 and 100.13

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Solution

The fourth proportional to 106.02, 157.97 and 100.13 is: 149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.02 : 157.97 = 100.13 : x
  2. Step 2: Convert to fraction form
    106.02/157.97 = 100.13/x
  3. Step 3: Cross multiply
    106.02x = 157.97 × 100.13
  4. Step 4: Simplify right side
    106.02x = 15,817.54
  5. Step 5: Solve for x
    x = 15,817.54/106.02
  6. Step 6: Final answer
    x = 149.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.