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Finding the Fourth Proportional to 107.51, 161.27 and 39.02

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Solution

The fourth proportional to 107.51, 161.27 and 39.02 is: 58.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.51 : 161.27 = 39.02 : x
  2. Step 2: Convert to fraction form
    107.51/161.27 = 39.02/x
  3. Step 3: Cross multiply
    107.51x = 161.27 × 39.02
  4. Step 4: Simplify right side
    107.51x = 6,292.76
  5. Step 5: Solve for x
    x = 6,292.76/107.51
  6. Step 6: Final answer
    x = 58.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.