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Finding the Fourth Proportional to 125.16, 187.41 and 98.16

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Solution

The fourth proportional to 125.16, 187.41 and 98.16 is: 146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.16 : 187.41 = 98.16 : x
  2. Step 2: Convert to fraction form
    125.16/187.41 = 98.16/x
  3. Step 3: Cross multiply
    125.16x = 187.41 × 98.16
  4. Step 4: Simplify right side
    125.16x = 18,396.17
  5. Step 5: Solve for x
    x = 18,396.17/125.16
  6. Step 6: Final answer
    x = 146.98

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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.