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Finding the Fourth Proportional to 68.64, 102.75 and 42.99

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Solution

The fourth proportional to 68.64, 102.75 and 42.99 is: 64.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.64 : 102.75 = 42.99 : x
  2. Step 2: Convert to fraction form
    68.64/102.75 = 42.99/x
  3. Step 3: Cross multiply
    68.64x = 102.75 × 42.99
  4. Step 4: Simplify right side
    68.64x = 4,417.22
  5. Step 5: Solve for x
    x = 4,417.22/68.64
  6. Step 6: Final answer
    x = 64.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.