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Finding the Fourth Proportional to 106.48, 159.10 and 92.08

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Solution

The fourth proportional to 106.48, 159.10 and 92.08 is: 137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.48 : 159.10 = 92.08 : x
  2. Step 2: Convert to fraction form
    106.48/159.10 = 92.08/x
  3. Step 3: Cross multiply
    106.48x = 159.10 × 92.08
  4. Step 4: Simplify right side
    106.48x = 14,649.93
  5. Step 5: Solve for x
    x = 14,649.93/106.48
  6. Step 6: Final answer
    x = 137.58

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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.