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Finding the Fourth Proportional to 115.14, 172.50 and 78.54

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Solution

The fourth proportional to 115.14, 172.50 and 78.54 is: 117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.14 : 172.50 = 78.54 : x
  2. Step 2: Convert to fraction form
    115.14/172.50 = 78.54/x
  3. Step 3: Cross multiply
    115.14x = 172.50 × 78.54
  4. Step 4: Simplify right side
    115.14x = 13,548.15
  5. Step 5: Solve for x
    x = 13,548.15/115.14
  6. Step 6: Final answer
    x = 117.67

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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.