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Finding the Fourth Proportional to 106.12, 146.28 and 78.45

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Solution

The fourth proportional to 106.12, 146.28 and 78.45 is: 108.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.12 : 146.28 = 78.45 : x
  2. Step 2: Convert to fraction form
    106.12/146.28 = 78.45/x
  3. Step 3: Cross multiply
    106.12x = 146.28 × 78.45
  4. Step 4: Simplify right side
    106.12x = 11,475.67
  5. Step 5: Solve for x
    x = 11,475.67/106.12
  6. Step 6: Final answer
    x = 108.14

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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.