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Finding the Fourth Proportional to 125.35, 186.98 and 121.50

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Solution

The fourth proportional to 125.35, 186.98 and 121.50 is: 181.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.35 : 186.98 = 121.50 : x
  2. Step 2: Convert to fraction form
    125.35/186.98 = 121.50/x
  3. Step 3: Cross multiply
    125.35x = 186.98 × 121.50
  4. Step 4: Simplify right side
    125.35x = 22,717.46
  5. Step 5: Solve for x
    x = 22,717.46/125.35
  6. Step 6: Final answer
    x = 181.24

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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.