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Finding the Fourth Proportional to 105.40, 158.09 and 57.34

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Solution

The fourth proportional to 105.40, 158.09 and 57.34 is: 86.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.40 : 158.09 = 57.34 : x
  2. Step 2: Convert to fraction form
    105.40/158.09 = 57.34/x
  3. Step 3: Cross multiply
    105.40x = 158.09 × 57.34
  4. Step 4: Simplify right side
    105.40x = 9,064.23
  5. Step 5: Solve for x
    x = 9,064.23/105.40
  6. Step 6: Final answer
    x = 86.00

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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.