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Finding the Fourth Proportional to 105.34, 157.23 and 93.32

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Solution

The fourth proportional to 105.34, 157.23 and 93.32 is: 139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.34 : 157.23 = 93.32 : x
  2. Step 2: Convert to fraction form
    105.34/157.23 = 93.32/x
  3. Step 3: Cross multiply
    105.34x = 157.23 × 93.32
  4. Step 4: Simplify right side
    105.34x = 14,672.70
  5. Step 5: Solve for x
    x = 14,672.70/105.34
  6. Step 6: Final answer
    x = 139.29

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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.