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Finding the Fourth Proportional to 39.40, 58.64 and 39.16

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Solution

The fourth proportional to 39.40, 58.64 and 39.16 is: 58.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.40 : 58.64 = 39.16 : x
  2. Step 2: Convert to fraction form
    39.40/58.64 = 39.16/x
  3. Step 3: Cross multiply
    39.40x = 58.64 × 39.16
  4. Step 4: Simplify right side
    39.40x = 2,296.34
  5. Step 5: Solve for x
    x = 2,296.34/39.40
  6. Step 6: Final answer
    x = 58.28

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Why These Related Problems?

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