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Finding the Fourth Proportional to 125.16, 186.28 and 123.76

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Solution

The fourth proportional to 125.16, 186.28 and 123.76 is: 184.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.16 : 186.28 = 123.76 : x
  2. Step 2: Convert to fraction form
    125.16/186.28 = 123.76/x
  3. Step 3: Cross multiply
    125.16x = 186.28 × 123.76
  4. Step 4: Simplify right side
    125.16x = 23,054.01
  5. Step 5: Solve for x
    x = 23,054.01/125.16
  6. Step 6: Final answer
    x = 184.20

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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.