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Finding the Fourth Proportional to 125.93, 188.78 and 65.00

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Solution

The fourth proportional to 125.93, 188.78 and 65.00 is: 97.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.93 : 188.78 = 65.00 : x
  2. Step 2: Convert to fraction form
    125.93/188.78 = 65.00/x
  3. Step 3: Cross multiply
    125.93x = 188.78 × 65.00
  4. Step 4: Simplify right side
    125.93x = 12,269.43
  5. Step 5: Solve for x
    x = 12,269.43/125.93
  6. Step 6: Final answer
    x = 97.43

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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.