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Finding the Fourth Proportional to 106.55, 147.35 and 101.72

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Solution

The fourth proportional to 106.55, 147.35 and 101.72 is: 140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.55 : 147.35 = 101.72 : x
  2. Step 2: Convert to fraction form
    106.55/147.35 = 101.72/x
  3. Step 3: Cross multiply
    106.55x = 147.35 × 101.72
  4. Step 4: Simplify right side
    106.55x = 14,987.20
  5. Step 5: Solve for x
    x = 14,987.20/106.55
  6. Step 6: Final answer
    x = 140.67

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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.