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Finding the Fourth Proportional to 92.90, 139.42 and 64.06

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Solution

The fourth proportional to 92.90, 139.42 and 64.06 is: 96.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.90 : 139.42 = 64.06 : x
  2. Step 2: Convert to fraction form
    92.90/139.42 = 64.06/x
  3. Step 3: Cross multiply
    92.90x = 139.42 × 64.06
  4. Step 4: Simplify right side
    92.90x = 8,931.25
  5. Step 5: Solve for x
    x = 8,931.25/92.90
  6. Step 6: Final answer
    x = 96.14

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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.