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Finding the Fourth Proportional to 106.16, 146.42 and 78.53

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Solution

The fourth proportional to 106.16, 146.42 and 78.53 is: 108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.16 : 146.42 = 78.53 : x
  2. Step 2: Convert to fraction form
    106.16/146.42 = 78.53/x
  3. Step 3: Cross multiply
    106.16x = 146.42 × 78.53
  4. Step 4: Simplify right side
    106.16x = 11,498.36
  5. Step 5: Solve for x
    x = 11,498.36/106.16
  6. Step 6: Final answer
    x = 108.31

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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.