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Finding the Fourth Proportional to 125.05, 187.64 and 76.40

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Solution

The fourth proportional to 125.05, 187.64 and 76.40 is: 114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.05 : 187.64 = 76.40 : x
  2. Step 2: Convert to fraction form
    125.05/187.64 = 76.40/x
  3. Step 3: Cross multiply
    125.05x = 187.64 × 76.40
  4. Step 4: Simplify right side
    125.05x = 14,335.08
  5. Step 5: Solve for x
    x = 14,335.08/125.05
  6. Step 6: Final answer
    x = 114.64

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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.