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Finding the Fourth Proportional to 86.95, 120.14 and 65.08

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Solution

The fourth proportional to 86.95, 120.14 and 65.08 is: 89.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.95 : 120.14 = 65.08 : x
  2. Step 2: Convert to fraction form
    86.95/120.14 = 65.08/x
  3. Step 3: Cross multiply
    86.95x = 120.14 × 65.08
  4. Step 4: Simplify right side
    86.95x = 7,818.71
  5. Step 5: Solve for x
    x = 7,818.71/86.95
  6. Step 6: Final answer
    x = 89.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.