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Finding the Fourth Proportional to 86.04, 128.98 and 29

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Solution

The fourth proportional to 86.04, 128.98 and 29 is: 43.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.04 : 128.98 = 29 : x
  2. Step 2: Convert to fraction form
    86.04/128.98 = 29/x
  3. Step 3: Cross multiply
    86.04x = 128.98 × 29
  4. Step 4: Simplify right side
    86.04x = 3,740.42
  5. Step 5: Solve for x
    x = 3,740.42/86.04
  6. Step 6: Final answer
    x = 43.47

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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.