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Finding the Fourth Proportional to 106.51, 158.84 and 104.71

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Solution

The fourth proportional to 106.51, 158.84 and 104.71 is: 156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.51 : 158.84 = 104.71 : x
  2. Step 2: Convert to fraction form
    106.51/158.84 = 104.71/x
  3. Step 3: Cross multiply
    106.51x = 158.84 × 104.71
  4. Step 4: Simplify right side
    106.51x = 16,632.14
  5. Step 5: Solve for x
    x = 16,632.14/106.51
  6. Step 6: Final answer
    x = 156.16

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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.