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Finding the Fourth Proportional to 97.16, 145.78 and 49.10

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Solution

The fourth proportional to 97.16, 145.78 and 49.10 is: 73.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.16 : 145.78 = 49.10 : x
  2. Step 2: Convert to fraction form
    97.16/145.78 = 49.10/x
  3. Step 3: Cross multiply
    97.16x = 145.78 × 49.10
  4. Step 4: Simplify right side
    97.16x = 7,157.80
  5. Step 5: Solve for x
    x = 7,157.80/97.16
  6. Step 6: Final answer
    x = 73.67

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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.