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Finding the Fourth Proportional to 124.09, 186.27 and 70.09

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Solution

The fourth proportional to 124.09, 186.27 and 70.09 is: 105.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.09 : 186.27 = 70.09 : x
  2. Step 2: Convert to fraction form
    124.09/186.27 = 70.09/x
  3. Step 3: Cross multiply
    124.09x = 186.27 × 70.09
  4. Step 4: Simplify right side
    124.09x = 13,055.66
  5. Step 5: Solve for x
    x = 13,055.66/124.09
  6. Step 6: Final answer
    x = 105.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.