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Finding the Fourth Proportional to 124.08, 186.04 and 46.99

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Solution

The fourth proportional to 124.08, 186.04 and 46.99 is: 70.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.08 : 186.04 = 46.99 : x
  2. Step 2: Convert to fraction form
    124.08/186.04 = 46.99/x
  3. Step 3: Cross multiply
    124.08x = 186.04 × 46.99
  4. Step 4: Simplify right side
    124.08x = 8,742.03
  5. Step 5: Solve for x
    x = 8,742.03/124.08
  6. Step 6: Final answer
    x = 70.46

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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.