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Finding the Fourth Proportional to 129.30, 177.93 and 111.84

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Solution

The fourth proportional to 129.30, 177.93 and 111.84 is: 153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.30 : 177.93 = 111.84 : x
  2. Step 2: Convert to fraction form
    129.30/177.93 = 111.84/x
  3. Step 3: Cross multiply
    129.30x = 177.93 × 111.84
  4. Step 4: Simplify right side
    129.30x = 19,899.69
  5. Step 5: Solve for x
    x = 19,899.69/129.30
  6. Step 6: Final answer
    x = 153.90

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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.