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Finding the Fourth Proportional to 77.49, 116.13 and 58.35

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Solution

The fourth proportional to 77.49, 116.13 and 58.35 is: 87.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.49 : 116.13 = 58.35 : x
  2. Step 2: Convert to fraction form
    77.49/116.13 = 58.35/x
  3. Step 3: Cross multiply
    77.49x = 116.13 × 58.35
  4. Step 4: Simplify right side
    77.49x = 6,776.19
  5. Step 5: Solve for x
    x = 6,776.19/77.49
  6. Step 6: Final answer
    x = 87.45

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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.