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Finding the Fourth Proportional to 117.58, 162.25 and 65.83

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Solution

The fourth proportional to 117.58, 162.25 and 65.83 is: 90.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.58 : 162.25 = 65.83 : x
  2. Step 2: Convert to fraction form
    117.58/162.25 = 65.83/x
  3. Step 3: Cross multiply
    117.58x = 162.25 × 65.83
  4. Step 4: Simplify right side
    117.58x = 10,680.92
  5. Step 5: Solve for x
    x = 10,680.92/117.58
  6. Step 6: Final answer
    x = 90.84

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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.