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Finding the Fourth Proportional to 156.34, 215.72 and 107.28

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Solution

The fourth proportional to 156.34, 215.72 and 107.28 is: 148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.34 : 215.72 = 107.28 : x
  2. Step 2: Convert to fraction form
    156.34/215.72 = 107.28/x
  3. Step 3: Cross multiply
    156.34x = 215.72 × 107.28
  4. Step 4: Simplify right side
    156.34x = 23,142.44
  5. Step 5: Solve for x
    x = 23,142.44/156.34
  6. Step 6: Final answer
    x = 148.03

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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.