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Finding the Fourth Proportional to 86.63, 129.91 and 46.02

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Solution

The fourth proportional to 86.63, 129.91 and 46.02 is: 69.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.63 : 129.91 = 46.02 : x
  2. Step 2: Convert to fraction form
    86.63/129.91 = 46.02/x
  3. Step 3: Cross multiply
    86.63x = 129.91 × 46.02
  4. Step 4: Simplify right side
    86.63x = 5,978.34
  5. Step 5: Solve for x
    x = 5,978.34/86.63
  6. Step 6: Final answer
    x = 69.01

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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.