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Finding the Fourth Proportional to 105.29, 157.84 and 47.58

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Solution

The fourth proportional to 105.29, 157.84 and 47.58 is: 71.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.29 : 157.84 = 47.58 : x
  2. Step 2: Convert to fraction form
    105.29/157.84 = 47.58/x
  3. Step 3: Cross multiply
    105.29x = 157.84 × 47.58
  4. Step 4: Simplify right side
    105.29x = 7,510.53
  5. Step 5: Solve for x
    x = 7,510.53/105.29
  6. Step 6: Final answer
    x = 71.33

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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.