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Finding the Fourth Proportional to 448.40, 672.44 and 123.72

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Solution

The fourth proportional to 448.40, 672.44 and 123.72 is: 185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.40 : 672.44 = 123.72 : x
  2. Step 2: Convert to fraction form
    448.40/672.44 = 123.72/x
  3. Step 3: Cross multiply
    448.40x = 672.44 × 123.72
  4. Step 4: Simplify right side
    448.40x = 83,193.66
  5. Step 5: Solve for x
    x = 83,193.66/448.40
  6. Step 6: Final answer
    x = 185.54

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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.