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Finding the Fourth Proportional to 145.77, 219.65 and 120.65

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Solution

The fourth proportional to 145.77, 219.65 and 120.65 is: 181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.77 : 219.65 = 120.65 : x
  2. Step 2: Convert to fraction form
    145.77/219.65 = 120.65/x
  3. Step 3: Cross multiply
    145.77x = 219.65 × 120.65
  4. Step 4: Simplify right side
    145.77x = 26,500.77
  5. Step 5: Solve for x
    x = 26,500.77/145.77
  6. Step 6: Final answer
    x = 181.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.