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Finding the Fourth Proportional to 75.10, 112.64 and 31.76

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Solution

The fourth proportional to 75.10, 112.64 and 31.76 is: 47.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.10 : 112.64 = 31.76 : x
  2. Step 2: Convert to fraction form
    75.10/112.64 = 31.76/x
  3. Step 3: Cross multiply
    75.10x = 112.64 × 31.76
  4. Step 4: Simplify right side
    75.10x = 3,577.45
  5. Step 5: Solve for x
    x = 3,577.45/75.10
  6. Step 6: Final answer
    x = 47.64

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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.