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Finding the Fourth Proportional to 105.57, 145.70 and 64.13

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Solution

The fourth proportional to 105.57, 145.70 and 64.13 is: 88.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.57 : 145.70 = 64.13 : x
  2. Step 2: Convert to fraction form
    105.57/145.70 = 64.13/x
  3. Step 3: Cross multiply
    105.57x = 145.70 × 64.13
  4. Step 4: Simplify right side
    105.57x = 9,343.48
  5. Step 5: Solve for x
    x = 9,343.48/105.57
  6. Step 6: Final answer
    x = 88.50

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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.