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Finding the Fourth Proportional to 145.76, 200.96 and 106.29

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Solution

The fourth proportional to 145.76, 200.96 and 106.29 is: 146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.76 : 200.96 = 106.29 : x
  2. Step 2: Convert to fraction form
    145.76/200.96 = 106.29/x
  3. Step 3: Cross multiply
    145.76x = 200.96 × 106.29
  4. Step 4: Simplify right side
    145.76x = 21,360.04
  5. Step 5: Solve for x
    x = 21,360.04/145.76
  6. Step 6: Final answer
    x = 146.54

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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.