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Finding the Fourth Proportional to 105.23, 157.86 and 32.11

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Solution

The fourth proportional to 105.23, 157.86 and 32.11 is: 48.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.23 : 157.86 = 32.11 : x
  2. Step 2: Convert to fraction form
    105.23/157.86 = 32.11/x
  3. Step 3: Cross multiply
    105.23x = 157.86 × 32.11
  4. Step 4: Simplify right side
    105.23x = 5,068.49
  5. Step 5: Solve for x
    x = 5,068.49/105.23
  6. Step 6: Final answer
    x = 48.16

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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.