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Finding the Fourth Proportional to 106.32, 158.69 and 97.77

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Solution

The fourth proportional to 106.32, 158.69 and 97.77 is: 145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.32 : 158.69 = 97.77 : x
  2. Step 2: Convert to fraction form
    106.32/158.69 = 97.77/x
  3. Step 3: Cross multiply
    106.32x = 158.69 × 97.77
  4. Step 4: Simplify right side
    106.32x = 15,514.63
  5. Step 5: Solve for x
    x = 15,514.63/106.32
  6. Step 6: Final answer
    x = 145.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.