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Finding the Fourth Proportional to 156.26, 215.64 and 90.77

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Solution

The fourth proportional to 156.26, 215.64 and 90.77 is: 125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.26 : 215.64 = 90.77 : x
  2. Step 2: Convert to fraction form
    156.26/215.64 = 90.77/x
  3. Step 3: Cross multiply
    156.26x = 215.64 × 90.77
  4. Step 4: Simplify right side
    156.26x = 19,572.56
  5. Step 5: Solve for x
    x = 19,572.56/156.26
  6. Step 6: Final answer
    x = 125.26

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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.