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Finding the Fourth Proportional to 147.62, 203.51 and 106.10

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Solution

The fourth proportional to 147.62, 203.51 and 106.10 is: 146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.62 : 203.51 = 106.10 : x
  2. Step 2: Convert to fraction form
    147.62/203.51 = 106.10/x
  3. Step 3: Cross multiply
    147.62x = 203.51 × 106.10
  4. Step 4: Simplify right side
    147.62x = 21,590.86
  5. Step 5: Solve for x
    x = 21,590.86/147.62
  6. Step 6: Final answer
    x = 146.26

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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.