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Finding the Fourth Proportional to 94.65, 142.13 and 64.00

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Solution

The fourth proportional to 94.65, 142.13 and 64.00 is: 96.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.65 : 142.13 = 64.00 : x
  2. Step 2: Convert to fraction form
    94.65/142.13 = 64.00/x
  3. Step 3: Cross multiply
    94.65x = 142.13 × 64.00
  4. Step 4: Simplify right side
    94.65x = 9,096.12
  5. Step 5: Solve for x
    x = 9,096.12/94.65
  6. Step 6: Final answer
    x = 96.10

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Why These Related Problems?

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