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Finding the Fourth Proportional to 156.36, 215.64 and 107.32

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Solution

The fourth proportional to 156.36, 215.64 and 107.32 is: 148.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.36 : 215.64 = 107.32 : x
  2. Step 2: Convert to fraction form
    156.36/215.64 = 107.32/x
  3. Step 3: Cross multiply
    156.36x = 215.64 × 107.32
  4. Step 4: Simplify right side
    156.36x = 23,142.48
  5. Step 5: Solve for x
    x = 23,142.48/156.36
  6. Step 6: Final answer
    x = 148.01

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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.