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Finding the Fourth Proportional to 120.65, 180.93 and 52.16

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Solution

The fourth proportional to 120.65, 180.93 and 52.16 is: 78.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.65 : 180.93 = 52.16 : x
  2. Step 2: Convert to fraction form
    120.65/180.93 = 52.16/x
  3. Step 3: Cross multiply
    120.65x = 180.93 × 52.16
  4. Step 4: Simplify right side
    120.65x = 9,437.62
  5. Step 5: Solve for x
    x = 9,437.62/120.65
  6. Step 6: Final answer
    x = 78.23

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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.