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Finding the Fourth Proportional to 108.66, 162.85 and 47.77

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Solution

The fourth proportional to 108.66, 162.85 and 47.77 is: 71.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.66 : 162.85 = 47.77 : x
  2. Step 2: Convert to fraction form
    108.66/162.85 = 47.77/x
  3. Step 3: Cross multiply
    108.66x = 162.85 × 47.77
  4. Step 4: Simplify right side
    108.66x = 7,779.11
  5. Step 5: Solve for x
    x = 7,779.11/108.66
  6. Step 6: Final answer
    x = 71.59

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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.