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Finding the Fourth Proportional to 105.57, 157.61 and 97.00

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Solution

The fourth proportional to 105.57, 157.61 and 97.00 is: 144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.57 : 157.61 = 97.00 : x
  2. Step 2: Convert to fraction form
    105.57/157.61 = 97.00/x
  3. Step 3: Cross multiply
    105.57x = 157.61 × 97.00
  4. Step 4: Simplify right side
    105.57x = 15,288.02
  5. Step 5: Solve for x
    x = 15,288.02/105.57
  6. Step 6: Final answer
    x = 144.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.