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Finding the Fourth Proportional to 75.08, 112.45 and 64.54

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Solution

The fourth proportional to 75.08, 112.45 and 64.54 is: 96.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.08 : 112.45 = 64.54 : x
  2. Step 2: Convert to fraction form
    75.08/112.45 = 64.54/x
  3. Step 3: Cross multiply
    75.08x = 112.45 × 64.54
  4. Step 4: Simplify right side
    75.08x = 7,257.00
  5. Step 5: Solve for x
    x = 7,257.00/75.08
  6. Step 6: Final answer
    x = 96.66

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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.