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Finding the Fourth Proportional to 145.60, 201.06 and 119.48

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Solution

The fourth proportional to 145.60, 201.06 and 119.48 is: 164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.60 : 201.06 = 119.48 : x
  2. Step 2: Convert to fraction form
    145.60/201.06 = 119.48/x
  3. Step 3: Cross multiply
    145.60x = 201.06 × 119.48
  4. Step 4: Simplify right side
    145.60x = 24,022.65
  5. Step 5: Solve for x
    x = 24,022.65/145.60
  6. Step 6: Final answer
    x = 164.99

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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.