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Finding the Fourth Proportional to 113.59, 156.72 and 64.47

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Solution

The fourth proportional to 113.59, 156.72 and 64.47 is: 88.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.59 : 156.72 = 64.47 : x
  2. Step 2: Convert to fraction form
    113.59/156.72 = 64.47/x
  3. Step 3: Cross multiply
    113.59x = 156.72 × 64.47
  4. Step 4: Simplify right side
    113.59x = 10,103.51
  5. Step 5: Solve for x
    x = 10,103.51/113.59
  6. Step 6: Final answer
    x = 88.95

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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.