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Finding the Fourth Proportional to 145.48, 219.22 and 120.36

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Solution

The fourth proportional to 145.48, 219.22 and 120.36 is: 181.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.48 : 219.22 = 120.36 : x
  2. Step 2: Convert to fraction form
    145.48/219.22 = 120.36/x
  3. Step 3: Cross multiply
    145.48x = 219.22 × 120.36
  4. Step 4: Simplify right side
    145.48x = 26,383.92
  5. Step 5: Solve for x
    x = 26,383.92/145.48
  6. Step 6: Final answer
    x = 181.35

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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.