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Finding the Fourth Proportional to 101.77, 152.34 and 85.43

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Solution

The fourth proportional to 101.77, 152.34 and 85.43 is: 127.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.77 : 152.34 = 85.43 : x
  2. Step 2: Convert to fraction form
    101.77/152.34 = 85.43/x
  3. Step 3: Cross multiply
    101.77x = 152.34 × 85.43
  4. Step 4: Simplify right side
    101.77x = 13,014.41
  5. Step 5: Solve for x
    x = 13,014.41/101.77
  6. Step 6: Final answer
    x = 127.89

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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.