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Finding the Fourth Proportional to 145.82, 218.82 and 64.66

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Solution

The fourth proportional to 145.82, 218.82 and 64.66 is: 97.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.82 : 218.82 = 64.66 : x
  2. Step 2: Convert to fraction form
    145.82/218.82 = 64.66/x
  3. Step 3: Cross multiply
    145.82x = 218.82 × 64.66
  4. Step 4: Simplify right side
    145.82x = 14,147.81
  5. Step 5: Solve for x
    x = 14,147.81/145.82
  6. Step 6: Final answer
    x = 97.02

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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.