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Finding the Fourth Proportional to 106.10, 146.49 and 78.47

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Solution

The fourth proportional to 106.10, 146.49 and 78.47 is: 108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.10 : 146.49 = 78.47 : x
  2. Step 2: Convert to fraction form
    106.10/146.49 = 78.47/x
  3. Step 3: Cross multiply
    106.10x = 146.49 × 78.47
  4. Step 4: Simplify right side
    106.10x = 11,495.07
  5. Step 5: Solve for x
    x = 11,495.07/106.10
  6. Step 6: Final answer
    x = 108.34

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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.