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Finding the Fourth Proportional to 74.98, 112.44 and 46.08

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Solution

The fourth proportional to 74.98, 112.44 and 46.08 is: 69.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.98 : 112.44 = 46.08 : x
  2. Step 2: Convert to fraction form
    74.98/112.44 = 46.08/x
  3. Step 3: Cross multiply
    74.98x = 112.44 × 46.08
  4. Step 4: Simplify right side
    74.98x = 5,181.24
  5. Step 5: Solve for x
    x = 5,181.24/74.98
  6. Step 6: Final answer
    x = 69.10

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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.