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Finding the Fourth Proportional to 131.15, 180.98 and 72.14

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Solution

The fourth proportional to 131.15, 180.98 and 72.14 is: 99.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.15 : 180.98 = 72.14 : x
  2. Step 2: Convert to fraction form
    131.15/180.98 = 72.14/x
  3. Step 3: Cross multiply
    131.15x = 180.98 × 72.14
  4. Step 4: Simplify right side
    131.15x = 13,054.99
  5. Step 5: Solve for x
    x = 13,054.99/131.15
  6. Step 6: Final answer
    x = 99.54

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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.