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Finding the Fourth Proportional to 123.99, 184.75 and 118.47

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Solution

The fourth proportional to 123.99, 184.75 and 118.47 is: 176.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.99 : 184.75 = 118.47 : x
  2. Step 2: Convert to fraction form
    123.99/184.75 = 118.47/x
  3. Step 3: Cross multiply
    123.99x = 184.75 × 118.47
  4. Step 4: Simplify right side
    123.99x = 21,887.04
  5. Step 5: Solve for x
    x = 21,887.04/123.99
  6. Step 6: Final answer
    x = 176.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.