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Finding the Fourth Proportional to 111.01, 166.36 and 56.77

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Solution

The fourth proportional to 111.01, 166.36 and 56.77 is: 85.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.01 : 166.36 = 56.77 : x
  2. Step 2: Convert to fraction form
    111.01/166.36 = 56.77/x
  3. Step 3: Cross multiply
    111.01x = 166.36 × 56.77
  4. Step 4: Simplify right side
    111.01x = 9,444.26
  5. Step 5: Solve for x
    x = 9,444.26/111.01
  6. Step 6: Final answer
    x = 85.08

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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.