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Finding the Fourth Proportional to 113.43, 156.53 and 64.29

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Solution

The fourth proportional to 113.43, 156.53 and 64.29 is: 88.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.43 : 156.53 = 64.29 : x
  2. Step 2: Convert to fraction form
    113.43/156.53 = 64.29/x
  3. Step 3: Cross multiply
    113.43x = 156.53 × 64.29
  4. Step 4: Simplify right side
    113.43x = 10,062.99
  5. Step 5: Solve for x
    x = 10,062.99/113.43
  6. Step 6: Final answer
    x = 88.72

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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.