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Finding the Fourth Proportional to 64.19, 95.70 and 60.32

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Solution

The fourth proportional to 64.19, 95.70 and 60.32 is: 89.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.19 : 95.70 = 60.32 : x
  2. Step 2: Convert to fraction form
    64.19/95.70 = 60.32/x
  3. Step 3: Cross multiply
    64.19x = 95.70 × 60.32
  4. Step 4: Simplify right side
    64.19x = 5,773.09
  5. Step 5: Solve for x
    x = 5,773.09/64.19
  6. Step 6: Final answer
    x = 89.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.