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Finding the Fourth Proportional to 103.13, 142.29 and 64.32

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Solution

The fourth proportional to 103.13, 142.29 and 64.32 is: 88.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.13 : 142.29 = 64.32 : x
  2. Step 2: Convert to fraction form
    103.13/142.29 = 64.32/x
  3. Step 3: Cross multiply
    103.13x = 142.29 × 64.32
  4. Step 4: Simplify right side
    103.13x = 9,152.09
  5. Step 5: Solve for x
    x = 9,152.09/103.13
  6. Step 6: Final answer
    x = 88.74

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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.