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Finding the Fourth Proportional to 86.40, 129.54 and 31.50

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Solution

The fourth proportional to 86.40, 129.54 and 31.50 is: 47.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.40 : 129.54 = 31.50 : x
  2. Step 2: Convert to fraction form
    86.40/129.54 = 31.50/x
  3. Step 3: Cross multiply
    86.40x = 129.54 × 31.50
  4. Step 4: Simplify right side
    86.40x = 4,080.51
  5. Step 5: Solve for x
    x = 4,080.51/86.40
  6. Step 6: Final answer
    x = 47.23

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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.