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Finding the Fourth Proportional to 74.78, 112.16 and 26.70

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Solution

The fourth proportional to 74.78, 112.16 and 26.70 is: 40.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.78 : 112.16 = 26.70 : x
  2. Step 2: Convert to fraction form
    74.78/112.16 = 26.70/x
  3. Step 3: Cross multiply
    74.78x = 112.16 × 26.70
  4. Step 4: Simplify right side
    74.78x = 2,994.67
  5. Step 5: Solve for x
    x = 2,994.67/74.78
  6. Step 6: Final answer
    x = 40.05

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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.