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Finding the Fourth Proportional to 156.49, 215.93 and 90.98

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Solution

The fourth proportional to 156.49, 215.93 and 90.98 is: 125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.49 : 215.93 = 90.98 : x
  2. Step 2: Convert to fraction form
    156.49/215.93 = 90.98/x
  3. Step 3: Cross multiply
    156.49x = 215.93 × 90.98
  4. Step 4: Simplify right side
    156.49x = 19,645.31
  5. Step 5: Solve for x
    x = 19,645.31/156.49
  6. Step 6: Final answer
    x = 125.54

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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.