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Finding the Fourth Proportional to 103.10, 142.16 and 64.29

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Solution

The fourth proportional to 103.10, 142.16 and 64.29 is: 88.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.10 : 142.16 = 64.29 : x
  2. Step 2: Convert to fraction form
    103.10/142.16 = 64.29/x
  3. Step 3: Cross multiply
    103.10x = 142.16 × 64.29
  4. Step 4: Simplify right side
    103.10x = 9,139.47
  5. Step 5: Solve for x
    x = 9,139.47/103.10
  6. Step 6: Final answer
    x = 88.65

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