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Finding the Fourth Proportional to 124.68, 185.94 and 106.51

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Solution

The fourth proportional to 124.68, 185.94 and 106.51 is: 158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.68 : 185.94 = 106.51 : x
  2. Step 2: Convert to fraction form
    124.68/185.94 = 106.51/x
  3. Step 3: Cross multiply
    124.68x = 185.94 × 106.51
  4. Step 4: Simplify right side
    124.68x = 19,804.47
  5. Step 5: Solve for x
    x = 19,804.47/124.68
  6. Step 6: Final answer
    x = 158.84

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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.