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Finding the Fourth Proportional to 59.17, 88.54 and 40.80

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Solution

The fourth proportional to 59.17, 88.54 and 40.80 is: 61.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.17 : 88.54 = 40.80 : x
  2. Step 2: Convert to fraction form
    59.17/88.54 = 40.80/x
  3. Step 3: Cross multiply
    59.17x = 88.54 × 40.80
  4. Step 4: Simplify right side
    59.17x = 3,612.26
  5. Step 5: Solve for x
    x = 3,612.26/59.17
  6. Step 6: Final answer
    x = 61.05

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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.