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Finding the Fourth Proportional to 106.32, 146.62 and 77.16

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Solution

The fourth proportional to 106.32, 146.62 and 77.16 is: 106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.32 : 146.62 = 77.16 : x
  2. Step 2: Convert to fraction form
    106.32/146.62 = 77.16/x
  3. Step 3: Cross multiply
    106.32x = 146.62 × 77.16
  4. Step 4: Simplify right side
    106.32x = 11,312.47
  5. Step 5: Solve for x
    x = 11,312.47/106.32
  6. Step 6: Final answer
    x = 106.41

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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.