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Finding the Fourth Proportional to 117.83, 162.56 and 75.77

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Solution

The fourth proportional to 117.83, 162.56 and 75.77 is: 104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.83 : 162.56 = 75.77 : x
  2. Step 2: Convert to fraction form
    117.83/162.56 = 75.77/x
  3. Step 3: Cross multiply
    117.83x = 162.56 × 75.77
  4. Step 4: Simplify right side
    117.83x = 12,315.98
  5. Step 5: Solve for x
    x = 12,315.98/117.83
  6. Step 6: Final answer
    x = 104.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.