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Finding the Fourth Proportional to 99.96, 137.91 and 64.99

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Solution

The fourth proportional to 99.96, 137.91 and 64.99 is: 89.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.96 : 137.91 = 64.99 : x
  2. Step 2: Convert to fraction form
    99.96/137.91 = 64.99/x
  3. Step 3: Cross multiply
    99.96x = 137.91 × 64.99
  4. Step 4: Simplify right side
    99.96x = 8,962.77
  5. Step 5: Solve for x
    x = 8,962.77/99.96
  6. Step 6: Final answer
    x = 89.66

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