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Finding the Fourth Proportional to 64.90, 89.58 and 39.04

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Solution

The fourth proportional to 64.90, 89.58 and 39.04 is: 53.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.90 : 89.58 = 39.04 : x
  2. Step 2: Convert to fraction form
    64.90/89.58 = 39.04/x
  3. Step 3: Cross multiply
    64.90x = 89.58 × 39.04
  4. Step 4: Simplify right side
    64.90x = 3,497.20
  5. Step 5: Solve for x
    x = 3,497.20/64.90
  6. Step 6: Final answer
    x = 53.89

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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.