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Finding the Fourth Proportional to 105.30, 157.85 and 41.13

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Solution

The fourth proportional to 105.30, 157.85 and 41.13 is: 61.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.30 : 157.85 = 41.13 : x
  2. Step 2: Convert to fraction form
    105.30/157.85 = 41.13/x
  3. Step 3: Cross multiply
    105.30x = 157.85 × 41.13
  4. Step 4: Simplify right side
    105.30x = 6,492.37
  5. Step 5: Solve for x
    x = 6,492.37/105.30
  6. Step 6: Final answer
    x = 61.66

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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.