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Finding the Fourth Proportional to 120.65, 166.63 and 88.05

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Solution

The fourth proportional to 120.65, 166.63 and 88.05 is: 121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.65 : 166.63 = 88.05 : x
  2. Step 2: Convert to fraction form
    120.65/166.63 = 88.05/x
  3. Step 3: Cross multiply
    120.65x = 166.63 × 88.05
  4. Step 4: Simplify right side
    120.65x = 14,670.94
  5. Step 5: Solve for x
    x = 14,670.94/120.65
  6. Step 6: Final answer
    x = 121.60

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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.