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Finding the Fourth Proportional to 156.23, 215.36 and 103.68

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Solution

The fourth proportional to 156.23, 215.36 and 103.68 is: 142.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.23 : 215.36 = 103.68 : x
  2. Step 2: Convert to fraction form
    156.23/215.36 = 103.68/x
  3. Step 3: Cross multiply
    156.23x = 215.36 × 103.68
  4. Step 4: Simplify right side
    156.23x = 22,328.40
  5. Step 5: Solve for x
    x = 22,328.40/156.23
  6. Step 6: Final answer
    x = 142.92

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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.