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Finding the Fourth Proportional to 75.49, 113.08 and 46.58

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Solution

The fourth proportional to 75.49, 113.08 and 46.58 is: 69.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.49 : 113.08 = 46.58 : x
  2. Step 2: Convert to fraction form
    75.49/113.08 = 46.58/x
  3. Step 3: Cross multiply
    75.49x = 113.08 × 46.58
  4. Step 4: Simplify right side
    75.49x = 5,267.27
  5. Step 5: Solve for x
    x = 5,267.27/75.49
  6. Step 6: Final answer
    x = 69.77

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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.