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Finding the Fourth Proportional to 105.02, 157.14 and 83.16

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Solution

The fourth proportional to 105.02, 157.14 and 83.16 is: 124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.02 : 157.14 = 83.16 : x
  2. Step 2: Convert to fraction form
    105.02/157.14 = 83.16/x
  3. Step 3: Cross multiply
    105.02x = 157.14 × 83.16
  4. Step 4: Simplify right side
    105.02x = 13,067.76
  5. Step 5: Solve for x
    x = 13,067.76/105.02
  6. Step 6: Final answer
    x = 124.44

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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.