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Finding the Fourth Proportional to 124.18, 186.24 and 37.51

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Solution

The fourth proportional to 124.18, 186.24 and 37.51 is: 56.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.18 : 186.24 = 37.51 : x
  2. Step 2: Convert to fraction form
    124.18/186.24 = 37.51/x
  3. Step 3: Cross multiply
    124.18x = 186.24 × 37.51
  4. Step 4: Simplify right side
    124.18x = 6,985.86
  5. Step 5: Solve for x
    x = 6,985.86/124.18
  6. Step 6: Final answer
    x = 56.26

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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.