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Finding the Fourth Proportional to 125.93, 188.74 and 73.78

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Solution

The fourth proportional to 125.93, 188.74 and 73.78 is: 110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.93 : 188.74 = 73.78 : x
  2. Step 2: Convert to fraction form
    125.93/188.74 = 73.78/x
  3. Step 3: Cross multiply
    125.93x = 188.74 × 73.78
  4. Step 4: Simplify right side
    125.93x = 13,924.29
  5. Step 5: Solve for x
    x = 13,924.29/125.93
  6. Step 6: Final answer
    x = 110.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.