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Finding the Fourth Proportional to 156.90, 216.47 and 101.62

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Solution

The fourth proportional to 156.90, 216.47 and 101.62 is: 140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.90 : 216.47 = 101.62 : x
  2. Step 2: Convert to fraction form
    156.90/216.47 = 101.62/x
  3. Step 3: Cross multiply
    156.90x = 216.47 × 101.62
  4. Step 4: Simplify right side
    156.90x = 21,998.21
  5. Step 5: Solve for x
    x = 21,998.21/156.90
  6. Step 6: Final answer
    x = 140.20

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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.