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Finding the Fourth Proportional to 156.07, 215.38 and 89.69

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Solution

The fourth proportional to 156.07, 215.38 and 89.69 is: 123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.07 : 215.38 = 89.69 : x
  2. Step 2: Convert to fraction form
    156.07/215.38 = 89.69/x
  3. Step 3: Cross multiply
    156.07x = 215.38 × 89.69
  4. Step 4: Simplify right side
    156.07x = 19,316.85
  5. Step 5: Solve for x
    x = 19,316.85/156.07
  6. Step 6: Final answer
    x = 123.77

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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.