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Finding the Fourth Proportional to 118.99, 164.14 and 74.76

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Solution

The fourth proportional to 118.99, 164.14 and 74.76 is: 103.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.99 : 164.14 = 74.76 : x
  2. Step 2: Convert to fraction form
    118.99/164.14 = 74.76/x
  3. Step 3: Cross multiply
    118.99x = 164.14 × 74.76
  4. Step 4: Simplify right side
    118.99x = 12,271.11
  5. Step 5: Solve for x
    x = 12,271.11/118.99
  6. Step 6: Final answer
    x = 103.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.