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Finding the Fourth Proportional to 74.03, 102.13 and 44.50

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Solution

The fourth proportional to 74.03, 102.13 and 44.50 is: 61.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.03 : 102.13 = 44.50 : x
  2. Step 2: Convert to fraction form
    74.03/102.13 = 44.50/x
  3. Step 3: Cross multiply
    74.03x = 102.13 × 44.50
  4. Step 4: Simplify right side
    74.03x = 4,544.79
  5. Step 5: Solve for x
    x = 4,544.79/74.03
  6. Step 6: Final answer
    x = 61.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.