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Finding the Fourth Proportional to 120.65, 180.95 and 55.64

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Solution

The fourth proportional to 120.65, 180.95 and 55.64 is: 83.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.65 : 180.95 = 55.64 : x
  2. Step 2: Convert to fraction form
    120.65/180.95 = 55.64/x
  3. Step 3: Cross multiply
    120.65x = 180.95 × 55.64
  4. Step 4: Simplify right side
    120.65x = 10,068.23
  5. Step 5: Solve for x
    x = 10,068.23/120.65
  6. Step 6: Final answer
    x = 83.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.