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Finding the Fourth Proportional to 156.90, 216.30 and 101.64

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Solution

The fourth proportional to 156.90, 216.30 and 101.64 is: 140.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.90 : 216.30 = 101.64 : x
  2. Step 2: Convert to fraction form
    156.90/216.30 = 101.64/x
  3. Step 3: Cross multiply
    156.90x = 216.30 × 101.64
  4. Step 4: Simplify right side
    156.90x = 21,984.73
  5. Step 5: Solve for x
    x = 21,984.73/156.90
  6. Step 6: Final answer
    x = 140.12

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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.