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Finding the Fourth Proportional to 124.84, 186.23 and 105.70

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Solution

The fourth proportional to 124.84, 186.23 and 105.70 is: 157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.84 : 186.23 = 105.70 : x
  2. Step 2: Convert to fraction form
    124.84/186.23 = 105.70/x
  3. Step 3: Cross multiply
    124.84x = 186.23 × 105.70
  4. Step 4: Simplify right side
    124.84x = 19,684.51
  5. Step 5: Solve for x
    x = 19,684.51/124.84
  6. Step 6: Final answer
    x = 157.68

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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.