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Finding the Fourth Proportional to 77.54, 116.16 and 59.45

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Solution

The fourth proportional to 77.54, 116.16 and 59.45 is: 89.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.54 : 116.16 = 59.45 : x
  2. Step 2: Convert to fraction form
    77.54/116.16 = 59.45/x
  3. Step 3: Cross multiply
    77.54x = 116.16 × 59.45
  4. Step 4: Simplify right side
    77.54x = 6,905.13
  5. Step 5: Solve for x
    x = 6,905.13/77.54
  6. Step 6: Final answer
    x = 89.06

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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.