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Finding the Fourth Proportional to 156.72, 216.09 and 101.46

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Solution

The fourth proportional to 156.72, 216.09 and 101.46 is: 139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.72 : 216.09 = 101.46 : x
  2. Step 2: Convert to fraction form
    156.72/216.09 = 101.46/x
  3. Step 3: Cross multiply
    156.72x = 216.09 × 101.46
  4. Step 4: Simplify right side
    156.72x = 21,924.49
  5. Step 5: Solve for x
    x = 21,924.49/156.72
  6. Step 6: Final answer
    x = 139.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.