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Finding the Fourth Proportional to 106.52, 146.61 and 77.36

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Solution

The fourth proportional to 106.52, 146.61 and 77.36 is: 106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.52 : 146.61 = 77.36 : x
  2. Step 2: Convert to fraction form
    106.52/146.61 = 77.36/x
  3. Step 3: Cross multiply
    106.52x = 146.61 × 77.36
  4. Step 4: Simplify right side
    106.52x = 11,341.02
  5. Step 5: Solve for x
    x = 11,341.02/106.52
  6. Step 6: Final answer
    x = 106.47

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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.