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Finding the Fourth Proportional to 105.19, 157.80 and 41.06

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Solution

The fourth proportional to 105.19, 157.80 and 41.06 is: 61.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.19 : 157.80 = 41.06 : x
  2. Step 2: Convert to fraction form
    105.19/157.80 = 41.06/x
  3. Step 3: Cross multiply
    105.19x = 157.80 × 41.06
  4. Step 4: Simplify right side
    105.19x = 6,479.27
  5. Step 5: Solve for x
    x = 6,479.27/105.19
  6. Step 6: Final answer
    x = 61.60

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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.