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Finding the Fourth Proportional to 115.13, 172.71 and 42.98

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Solution

The fourth proportional to 115.13, 172.71 and 42.98 is: 64.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.13 : 172.71 = 42.98 : x
  2. Step 2: Convert to fraction form
    115.13/172.71 = 42.98/x
  3. Step 3: Cross multiply
    115.13x = 172.71 × 42.98
  4. Step 4: Simplify right side
    115.13x = 7,423.08
  5. Step 5: Solve for x
    x = 7,423.08/115.13
  6. Step 6: Final answer
    x = 64.48

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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.