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Finding the Fourth Proportional to 117.65, 162.25 and 89.97

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Solution

The fourth proportional to 117.65, 162.25 and 89.97 is: 124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.65 : 162.25 = 89.97 : x
  2. Step 2: Convert to fraction form
    117.65/162.25 = 89.97/x
  3. Step 3: Cross multiply
    117.65x = 162.25 × 89.97
  4. Step 4: Simplify right side
    117.65x = 14,597.63
  5. Step 5: Solve for x
    x = 14,597.63/117.65
  6. Step 6: Final answer
    x = 124.08

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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.