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Finding the Fourth Proportional to 125.14, 187.78 and 53.00

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Solution

The fourth proportional to 125.14, 187.78 and 53.00 is: 79.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.14 : 187.78 = 53.00 : x
  2. Step 2: Convert to fraction form
    125.14/187.78 = 53.00/x
  3. Step 3: Cross multiply
    125.14x = 187.78 × 53.00
  4. Step 4: Simplify right side
    125.14x = 9,951.27
  5. Step 5: Solve for x
    x = 9,951.27/125.14
  6. Step 6: Final answer
    x = 79.52

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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.