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Finding the Fourth Proportional to 125.24, 188.51 and 96.50

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Solution

The fourth proportional to 125.24, 188.51 and 96.50 is: 145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.24 : 188.51 = 96.50 : x
  2. Step 2: Convert to fraction form
    125.24/188.51 = 96.50/x
  3. Step 3: Cross multiply
    125.24x = 188.51 × 96.50
  4. Step 4: Simplify right side
    125.24x = 18,189.79
  5. Step 5: Solve for x
    x = 18,189.79/125.24
  6. Step 6: Final answer
    x = 145.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.