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Finding the Fourth Proportional to 106.38, 147.02 and 98.28

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Solution

The fourth proportional to 106.38, 147.02 and 98.28 is: 135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.38 : 147.02 = 98.28 : x
  2. Step 2: Convert to fraction form
    106.38/147.02 = 98.28/x
  3. Step 3: Cross multiply
    106.38x = 147.02 × 98.28
  4. Step 4: Simplify right side
    106.38x = 14,448.63
  5. Step 5: Solve for x
    x = 14,448.63/106.38
  6. Step 6: Final answer
    x = 135.82

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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.