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Finding the Fourth Proportional to 145.16, 217.76 and 47.66

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Solution

The fourth proportional to 145.16, 217.76 and 47.66 is: 71.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.16 : 217.76 = 47.66 : x
  2. Step 2: Convert to fraction form
    145.16/217.76 = 47.66/x
  3. Step 3: Cross multiply
    145.16x = 217.76 × 47.66
  4. Step 4: Simplify right side
    145.16x = 10,377.11
  5. Step 5: Solve for x
    x = 10,377.11/145.16
  6. Step 6: Final answer
    x = 71.49

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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.