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Finding the Fourth Proportional to 76.50, 105.65 and 53.62

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Solution

The fourth proportional to 76.50, 105.65 and 53.62 is: 74.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.50 : 105.65 = 53.62 : x
  2. Step 2: Convert to fraction form
    76.50/105.65 = 53.62/x
  3. Step 3: Cross multiply
    76.50x = 105.65 × 53.62
  4. Step 4: Simplify right side
    76.50x = 5,664.95
  5. Step 5: Solve for x
    x = 5,664.95/76.50
  6. Step 6: Final answer
    x = 74.05

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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.