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Finding the Fourth Proportional to 145.79, 218.74 and 49.67

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Solution

The fourth proportional to 145.79, 218.74 and 49.67 is: 74.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.79 : 218.74 = 49.67 : x
  2. Step 2: Convert to fraction form
    145.79/218.74 = 49.67/x
  3. Step 3: Cross multiply
    145.79x = 218.74 × 49.67
  4. Step 4: Simplify right side
    145.79x = 10,864.57
  5. Step 5: Solve for x
    x = 10,864.57/145.79
  6. Step 6: Final answer
    x = 74.52

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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.