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Finding the Fourth Proportional to 107.53, 147.42 and 105.93

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Solution

The fourth proportional to 107.53, 147.42 and 105.93 is: 145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.53 : 147.42 = 105.93 : x
  2. Step 2: Convert to fraction form
    107.53/147.42 = 105.93/x
  3. Step 3: Cross multiply
    107.53x = 147.42 × 105.93
  4. Step 4: Simplify right side
    107.53x = 15,616.20
  5. Step 5: Solve for x
    x = 15,616.20/107.53
  6. Step 6: Final answer
    x = 145.23

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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.