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Finding the Fourth Proportional to 96.90, 144.54 and 90.35

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Solution

The fourth proportional to 96.90, 144.54 and 90.35 is: 134.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.90 : 144.54 = 90.35 : x
  2. Step 2: Convert to fraction form
    96.90/144.54 = 90.35/x
  3. Step 3: Cross multiply
    96.90x = 144.54 × 90.35
  4. Step 4: Simplify right side
    96.90x = 13,058.47
  5. Step 5: Solve for x
    x = 13,058.47/96.90
  6. Step 6: Final answer
    x = 134.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.