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Finding the Fourth Proportional to 105.22, 157.90 and 71.00

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Solution

The fourth proportional to 105.22, 157.90 and 71.00 is: 106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.22 : 157.90 = 71.00 : x
  2. Step 2: Convert to fraction form
    105.22/157.90 = 71.00/x
  3. Step 3: Cross multiply
    105.22x = 157.90 × 71.00
  4. Step 4: Simplify right side
    105.22x = 11,209.93
  5. Step 5: Solve for x
    x = 11,209.93/105.22
  6. Step 6: Final answer
    x = 106.54

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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.