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Finding the Fourth Proportional to 125.95, 189.11 and 77.98

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Solution

The fourth proportional to 125.95, 189.11 and 77.98 is: 117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.95 : 189.11 = 77.98 : x
  2. Step 2: Convert to fraction form
    125.95/189.11 = 77.98/x
  3. Step 3: Cross multiply
    125.95x = 189.11 × 77.98
  4. Step 4: Simplify right side
    125.95x = 14,746.80
  5. Step 5: Solve for x
    x = 14,746.80/125.95
  6. Step 6: Final answer
    x = 117.08

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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.