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Finding the Fourth Proportional to 125.21, 187.72 and 56.77

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Solution

The fourth proportional to 125.21, 187.72 and 56.77 is: 85.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.21 : 187.72 = 56.77 : x
  2. Step 2: Convert to fraction form
    125.21/187.72 = 56.77/x
  3. Step 3: Cross multiply
    125.21x = 187.72 × 56.77
  4. Step 4: Simplify right side
    125.21x = 10,656.25
  5. Step 5: Solve for x
    x = 10,656.25/125.21
  6. Step 6: Final answer
    x = 85.11

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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.