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Finding the Fourth Proportional to 145.67, 218.36 and 64.46

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Solution

The fourth proportional to 145.67, 218.36 and 64.46 is: 96.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.67 : 218.36 = 64.46 : x
  2. Step 2: Convert to fraction form
    145.67/218.36 = 64.46/x
  3. Step 3: Cross multiply
    145.67x = 218.36 × 64.46
  4. Step 4: Simplify right side
    145.67x = 14,076.19
  5. Step 5: Solve for x
    x = 14,076.19/145.67
  6. Step 6: Final answer
    x = 96.63

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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.