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Finding the Fourth Proportional to 118.51, 177.32 and 72.07

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Solution

The fourth proportional to 118.51, 177.32 and 72.07 is: 107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.51 : 177.32 = 72.07 : x
  2. Step 2: Convert to fraction form
    118.51/177.32 = 72.07/x
  3. Step 3: Cross multiply
    118.51x = 177.32 × 72.07
  4. Step 4: Simplify right side
    118.51x = 12,779.19
  5. Step 5: Solve for x
    x = 12,779.19/118.51
  6. Step 6: Final answer
    x = 107.83

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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.