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Finding the Fourth Proportional to 94.42, 130.26 and 64.91

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Solution

The fourth proportional to 94.42, 130.26 and 64.91 is: 89.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.42 : 130.26 = 64.91 : x
  2. Step 2: Convert to fraction form
    94.42/130.26 = 64.91/x
  3. Step 3: Cross multiply
    94.42x = 130.26 × 64.91
  4. Step 4: Simplify right side
    94.42x = 8,455.18
  5. Step 5: Solve for x
    x = 8,455.18/94.42
  6. Step 6: Final answer
    x = 89.55

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Why These Related Problems?

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