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Finding the Fourth Proportional to 156.02, 215.33 and 106.32

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Solution

The fourth proportional to 156.02, 215.33 and 106.32 is: 146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.02 : 215.33 = 106.32 : x
  2. Step 2: Convert to fraction form
    156.02/215.33 = 106.32/x
  3. Step 3: Cross multiply
    156.02x = 215.33 × 106.32
  4. Step 4: Simplify right side
    156.02x = 22,893.35
  5. Step 5: Solve for x
    x = 22,893.35/156.02
  6. Step 6: Final answer
    x = 146.74

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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.