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Finding the Fourth Proportional to 65.07, 96.84 and 62.64

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Solution

The fourth proportional to 65.07, 96.84 and 62.64 is: 93.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.07 : 96.84 = 62.64 : x
  2. Step 2: Convert to fraction form
    65.07/96.84 = 62.64/x
  3. Step 3: Cross multiply
    65.07x = 96.84 × 62.64
  4. Step 4: Simplify right side
    65.07x = 6,065.50
  5. Step 5: Solve for x
    x = 6,065.50/65.07
  6. Step 6: Final answer
    x = 93.22

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