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Finding the Fourth Proportional to 106.95, 147.60 and 65.52

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Solution

The fourth proportional to 106.95, 147.60 and 65.52 is: 90.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.95 : 147.60 = 65.52 : x
  2. Step 2: Convert to fraction form
    106.95/147.60 = 65.52/x
  3. Step 3: Cross multiply
    106.95x = 147.60 × 65.52
  4. Step 4: Simplify right side
    106.95x = 9,670.75
  5. Step 5: Solve for x
    x = 9,670.75/106.95
  6. Step 6: Final answer
    x = 90.42

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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.