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Finding the Fourth Proportional to 125.00, 187.15 and 106.71

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Solution

The fourth proportional to 125.00, 187.15 and 106.71 is: 159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.00 : 187.15 = 106.71 : x
  2. Step 2: Convert to fraction form
    125.00/187.15 = 106.71/x
  3. Step 3: Cross multiply
    125.00x = 187.15 × 106.71
  4. Step 4: Simplify right side
    125.00x = 19,970.51
  5. Step 5: Solve for x
    x = 19,970.51/125.00
  6. Step 6: Final answer
    x = 159.77

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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.