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Finding the Fourth Proportional to 74.10, 102.24 and 64.89

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Solution

The fourth proportional to 74.10, 102.24 and 64.89 is: 89.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.10 : 102.24 = 64.89 : x
  2. Step 2: Convert to fraction form
    74.10/102.24 = 64.89/x
  3. Step 3: Cross multiply
    74.10x = 102.24 × 64.89
  4. Step 4: Simplify right side
    74.10x = 6,634.35
  5. Step 5: Solve for x
    x = 6,634.35/74.10
  6. Step 6: Final answer
    x = 89.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.