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Finding the Fourth Proportional to 116.57, 174.78 and 86.00

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Solution

The fourth proportional to 116.57, 174.78 and 86.00 is: 128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.57 : 174.78 = 86.00 : x
  2. Step 2: Convert to fraction form
    116.57/174.78 = 86.00/x
  3. Step 3: Cross multiply
    116.57x = 174.78 × 86.00
  4. Step 4: Simplify right side
    116.57x = 15,030.21
  5. Step 5: Solve for x
    x = 15,030.21/116.57
  6. Step 6: Final answer
    x = 128.93

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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.