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Finding the Fourth Proportional to 86.55, 130.14 and 46.16

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Solution

The fourth proportional to 86.55, 130.14 and 46.16 is: 69.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.55 : 130.14 = 46.16 : x
  2. Step 2: Convert to fraction form
    86.55/130.14 = 46.16/x
  3. Step 3: Cross multiply
    86.55x = 130.14 × 46.16
  4. Step 4: Simplify right side
    86.55x = 6,006.61
  5. Step 5: Solve for x
    x = 6,006.61/86.55
  6. Step 6: Final answer
    x = 69.40

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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.