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Finding the Fourth Proportional to 96.90, 145.39 and 45.55

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Solution

The fourth proportional to 96.90, 145.39 and 45.55 is: 68.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.90 : 145.39 = 45.55 : x
  2. Step 2: Convert to fraction form
    96.90/145.39 = 45.55/x
  3. Step 3: Cross multiply
    96.90x = 145.39 × 45.55
  4. Step 4: Simplify right side
    96.90x = 6,622.51
  5. Step 5: Solve for x
    x = 6,622.51/96.90
  6. Step 6: Final answer
    x = 68.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.