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Finding the Fourth Proportional to 113.60, 156.87 and 99.70

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Solution

The fourth proportional to 113.60, 156.87 and 99.70 is: 137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.60 : 156.87 = 99.70 : x
  2. Step 2: Convert to fraction form
    113.60/156.87 = 99.70/x
  3. Step 3: Cross multiply
    113.60x = 156.87 × 99.70
  4. Step 4: Simplify right side
    113.60x = 15,639.55
  5. Step 5: Solve for x
    x = 15,639.55/113.60
  6. Step 6: Final answer
    x = 137.67

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Why These Related Problems?

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