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Finding the Fourth Proportional to 75.12, 112.70 and 23.76

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Solution

The fourth proportional to 75.12, 112.70 and 23.76 is: 35.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.12 : 112.70 = 23.76 : x
  2. Step 2: Convert to fraction form
    75.12/112.70 = 23.76/x
  3. Step 3: Cross multiply
    75.12x = 112.70 × 23.76
  4. Step 4: Simplify right side
    75.12x = 2,677.63
  5. Step 5: Solve for x
    x = 2,677.63/75.12
  6. Step 6: Final answer
    x = 35.64

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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.