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Finding the Fourth Proportional to 106.19, 146.58 and 77.12

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Solution

The fourth proportional to 106.19, 146.58 and 77.12 is: 106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.19 : 146.58 = 77.12 : x
  2. Step 2: Convert to fraction form
    106.19/146.58 = 77.12/x
  3. Step 3: Cross multiply
    106.19x = 146.58 × 77.12
  4. Step 4: Simplify right side
    106.19x = 11,304.25
  5. Step 5: Solve for x
    x = 11,304.25/106.19
  6. Step 6: Final answer
    x = 106.45

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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.