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Finding the Fourth Proportional to 74.60, 102.95 and 56.15

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Solution

The fourth proportional to 74.60, 102.95 and 56.15 is: 77.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.60 : 102.95 = 56.15 : x
  2. Step 2: Convert to fraction form
    74.60/102.95 = 56.15/x
  3. Step 3: Cross multiply
    74.60x = 102.95 × 56.15
  4. Step 4: Simplify right side
    74.60x = 5,779.85
  5. Step 5: Solve for x
    x = 5,779.85/74.60
  6. Step 6: Final answer
    x = 77.48

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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.