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Finding the Fourth Proportional to 106.05, 146.42 and 99.98

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Solution

The fourth proportional to 106.05, 146.42 and 99.98 is: 138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.05 : 146.42 = 99.98 : x
  2. Step 2: Convert to fraction form
    106.05/146.42 = 99.98/x
  3. Step 3: Cross multiply
    106.05x = 146.42 × 99.98
  4. Step 4: Simplify right side
    106.05x = 14,639.07
  5. Step 5: Solve for x
    x = 14,639.07/106.05
  6. Step 6: Final answer
    x = 138.04

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Why These Related Problems?

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