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Finding the Fourth Proportional to 156.47, 216.09 and 127.04

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Solution

The fourth proportional to 156.47, 216.09 and 127.04 is: 175.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.47 : 216.09 = 127.04 : x
  2. Step 2: Convert to fraction form
    156.47/216.09 = 127.04/x
  3. Step 3: Cross multiply
    156.47x = 216.09 × 127.04
  4. Step 4: Simplify right side
    156.47x = 27,450.99
  5. Step 5: Solve for x
    x = 27,450.99/156.47
  6. Step 6: Final answer
    x = 175.44

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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.