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Finding the Fourth Proportional to 86.63, 129.40 and 74.48

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Solution

The fourth proportional to 86.63, 129.40 and 74.48 is: 111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.63 : 129.40 = 74.48 : x
  2. Step 2: Convert to fraction form
    86.63/129.40 = 74.48/x
  3. Step 3: Cross multiply
    86.63x = 129.40 × 74.48
  4. Step 4: Simplify right side
    86.63x = 9,637.71
  5. Step 5: Solve for x
    x = 9,637.71/86.63
  6. Step 6: Final answer
    x = 111.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.