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Finding the Fourth Proportional to 106.02, 145.76 and 105.36

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Solution

The fourth proportional to 106.02, 145.76 and 105.36 is: 144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.02 : 145.76 = 105.36 : x
  2. Step 2: Convert to fraction form
    106.02/145.76 = 105.36/x
  3. Step 3: Cross multiply
    106.02x = 145.76 × 105.36
  4. Step 4: Simplify right side
    106.02x = 15,356.75
  5. Step 5: Solve for x
    x = 15,356.75/106.02
  6. Step 6: Final answer
    x = 144.85

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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.