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Finding the Fourth Proportional to 59.54, 82.17 and 53.00

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Solution

The fourth proportional to 59.54, 82.17 and 53.00 is: 73.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.54 : 82.17 = 53.00 : x
  2. Step 2: Convert to fraction form
    59.54/82.17 = 53.00/x
  3. Step 3: Cross multiply
    59.54x = 82.17 × 53.00
  4. Step 4: Simplify right side
    59.54x = 4,354.60
  5. Step 5: Solve for x
    x = 4,354.60/59.54
  6. Step 6: Final answer
    x = 73.14

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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.