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Finding the Fourth Proportional to 106.24, 145.80 and 103.52

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Solution

The fourth proportional to 106.24, 145.80 and 103.52 is: 142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.24 : 145.80 = 103.52 : x
  2. Step 2: Convert to fraction form
    106.24/145.80 = 103.52/x
  3. Step 3: Cross multiply
    106.24x = 145.80 × 103.52
  4. Step 4: Simplify right side
    106.24x = 15,093.22
  5. Step 5: Solve for x
    x = 15,093.22/106.24
  6. Step 6: Final answer
    x = 142.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.